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2024

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Evaluating The Nuclear Power Plant Safety System Under Neutrosophic Environment, Debapriya Mondal, Totan Garai, Gopal Chandra Roy, Shariful Alam Sep 2024

Evaluating The Nuclear Power Plant Safety System Under Neutrosophic Environment, Debapriya Mondal, Totan Garai, Gopal Chandra Roy, Shariful Alam

Neutrosophic Sets and Systems

The safety system of nuclear power plants is very crucial for protecting the environment and the living world. In this article, we have addressed the nuclear power plant safety system in a neutrosophic environment. Here, we have mathematically presented a nuclear power plant safety system in terms of neutrosophic differential equations. We have thoroughly examined and discussed both analytically and numerically the solution of the nuclear power plant safety model considering the underlying model parameter as single-valued triangular neutrosophic number. We have focused to find out probability of the nuclear power plant’s safety system working normally and shutdown in safe …


Neutrosophic Quadruple Hv-Modules And Their Fundamental Module, Madeleine Al Tahan, Saba Al-Kaseasbeh, Bijan Davvaz Sep 2024

Neutrosophic Quadruple Hv-Modules And Their Fundamental Module, Madeleine Al Tahan, Saba Al-Kaseasbeh, Bijan Davvaz

Neutrosophic Sets and Systems

This article aims to explore the deeper connections between neutrosophy and hyperstructures. Specifically, we introduce the concept of neutrosophic quadruple Hv-modules over neutrosophic quadruple Hv rings, examine their properties, and identify their fundamental module.


Deneutrosophication Of Neutrosophic Bézier Surface Approximation Model, Siti Nur Idara Rosli, Mohammad Izat Emir Zulkifly Sep 2024

Deneutrosophication Of Neutrosophic Bézier Surface Approximation Model, Siti Nur Idara Rosli, Mohammad Izat Emir Zulkifly

Neutrosophic Sets and Systems

The deneutrosophication process is a process transforming from neutrosophic values to crisp output values. It is the final step for the operations within a neutrosophic set and system. Neutrosophic set theories are a generalization of intuitionistic fuzzy and fuzzy set theories, focusing on truth, indeterminacy, and falsity memberships independently. However, it isn't easy to generate a geometrical model such as a Bézier surface by using neutrosophic set theory through the deneutrosophication process. Therefore, this paper used an average of triangular footprint method in the deneutrosophication process to construct the neutrosophic Bézier surface (NBS) models by using approximation methods. Before generating …


Product Operations On Pythagorean Co-Neutrosophic Graphs And Its Application, G. Vetrivel, M. Mullai, G. Rajchakit Sep 2024

Product Operations On Pythagorean Co-Neutrosophic Graphs And Its Application, G. Vetrivel, M. Mullai, G. Rajchakit

Neutrosophic Sets and Systems

Pythagorean Co-Neutrosophic Graphs (PyCNGs) have newly emerged after the foundation of Pythagorean fuzzy graph and Co-neutrosophic graphs, where the membership of indeterminacy(uncertain) is independent and membership of truth(existence) & false(non-existence) are dependent. This paper has a wide discussion of different product operations carried out in PyCNGs. Some properties like strong, complete with consideration of a vertex’s degree in the graph are explored with examples. Also, an application related to the product on PyCNGs is demonstrated with brain network analysis and its function.


Modified Non-Linear Triangular Neutrosophic Numbers: Theory And Applications In Integral Equation, A. Mohammed Shapique, E. Mathivadhana Sep 2024

Modified Non-Linear Triangular Neutrosophic Numbers: Theory And Applications In Integral Equation, A. Mohammed Shapique, E. Mathivadhana

Neutrosophic Sets and Systems

Existing methods for handling uncertainty and imprecision often fall short in addressing complex real-world problems. To overcome these limitations, this paper introduces a novel Generalized Non-Linear Triangular Neutrosophic Number (GNLTNN) that effectively captures uncertainty, indeterminacy, and falsity. By analysing GNLTNN through (α, β, γ)-cuts and defining arithmetic operations using the max-min principle, we provide a robust framework for handling neutrosophic information. The proposed neutrosophic Laplace transform method enables efficient solutions to integral equations involving non-linear neutrosophic numbers. The efficacy of our approach is demonstrated through graphical representations


A Novel Medical Image Segmentation Using Neutrosophic Sets With Slope Variation, Sangeeta K Siri, S Pramod Kumar, Mrityunjaya V. Latte Sep 2024

A Novel Medical Image Segmentation Using Neutrosophic Sets With Slope Variation, Sangeeta K Siri, S Pramod Kumar, Mrityunjaya V. Latte

Neutrosophic Sets and Systems

Computer-Aided Diagnostic methods demand the precise segmentation of medical images. The important stage in diagnosis is the extraction of the Region of Interest (ROI). Illustration of the image in a more meaningful way is the aim of segmentation. Segmentation finds extensive use in computer vision, object recognition, image recovery based on the content, etc. In the proposed model, Slope Variation Scatter (SVS) plot of image is obtained to compute vertices of Neutrosophic Gaussian Function (NGF). The SVS describes global variation rate of image histogram. In this, the crests represent local mean of pixels/ certainty mean and valleys represents uncertainty mean. …


Neutrosophic Log-Gamma Distribution And Its Applications To Industrial Growth, Fuad S. Al-Duais Sep 2024

Neutrosophic Log-Gamma Distribution And Its Applications To Industrial Growth, Fuad S. Al-Duais

Neutrosophic Sets and Systems

This study suggests a novel statistical distribution known as the neutrosophic log gamma distribution (NLGD) for analyzing the interval value data. The proposed distribution is derived from the transformation method, utilizing the approach of neutrosophic logic. The statistical characteristics of the proposed are studied within a neutrosophic framework. Basic statistical properties such as moments of origin, mode, mean deviation, and other related functions that are commonly employed in statistical applications are derived. In addition to the basic properties of the model, the estimation approach of maximum likelihood is also studied. The derived estimators of the proposed model are further assessed …


Hybrid Neutrosophic Deep Learning Model For Enhanced Arabic Handwriting Recognition, Mohamed G. Mahdi, Ahmed Sleem, Ibrahim M. Elhenawy, Soha Safwat Sep 2024

Hybrid Neutrosophic Deep Learning Model For Enhanced Arabic Handwriting Recognition, Mohamed G. Mahdi, Ahmed Sleem, Ibrahim M. Elhenawy, Soha Safwat

Neutrosophic Sets and Systems

Recognizing handwritten Arabic characters poses a significant challenge due to the complexities of the cursive script and the visual similarities between characters. While deep learning techniques have shown substantial promise, advancements in model architectures are essential to further enhance performance. Neutrosophic Sets (NS) have demonstrated their potential in improving classification models by effectively handling indeterminate and inconsistent data. This paper introduces a novel approach that integrates Neutrosophic Sets with a hybrid deep learning model, combining Convolutional Neural Networks (CNNs) with Bidirectional Recurrent Neural Networks (Bi-LSTM and Bi-GRU). This integration allows for the extraction of spatial features and modeling of temporal …


Soft Sets Extensions: Innovating Healthcare Claims Analysis, Daniela Gifu, Florentin Smarandache Aug 2024

Soft Sets Extensions: Innovating Healthcare Claims Analysis, Daniela Gifu, Florentin Smarandache

Branch Mathematics and Statistics Faculty and Staff Publications

In the dynamic arena of healthcare research, where the complexities of data often rival the intricacies of biological systems, the ability to model and analyze such multifaceted datasets is crucial. This comprehensive review delves into the evolution and application of Soft Sets and their extensions, including HyperSoft Sets, SuperHyperSoft Sets, IndetermSoft Sets, IndetermHyperSoft Sets, and TreeSoft Sets, in healthcare claims data analysis.


On Q^*-Closed Sets In Fuzzy Neutrosophic Τopology: Principles, Proofs, And Examples, Hajar Y. Mohammed, Fatimah M. Mohammed, Ghada Al-Mahbashi Aug 2024

On Q^*-Closed Sets In Fuzzy Neutrosophic Τopology: Principles, Proofs, And Examples, Hajar Y. Mohammed, Fatimah M. Mohammed, Ghada Al-Mahbashi

Neutrosophic Systems with Applications

This paper aims to present a new concept of sets known as fuzzy neutrosophic Q^*-closed sets in fuzzy neutrosophic topology. In this study, we explore and investigate more novel properties of these classes by some new definitions, theorems, and propositions. Therefore, a group of examples is presented and discussed to clarify the relationships between the new study of Q^*-closed sets with other sets.


Normed-Bifuzzy Valued-Ideals Of Semigroups, Mohammad Hamidi, Rasul Rasuli Aug 2024

Normed-Bifuzzy Valued-Ideals Of Semigroups, Mohammad Hamidi, Rasul Rasuli

Neutrosophic Systems with Applications

As concerning the views of T norms and T conorms, the intent of article is to define and probe the fuzzy semigroups, fuzzy ideals, fuzzy bi-ideals, bifuzzy subsemigroups, bifuzzy ideals, bifuzzy bi-ideals, fuzzy (1, 2)-ideals and bifuzzy (1, 2)-ideals in any given semigroup. Also, we indicate and study their basic properties of them in completely regular semigroups. Finally, we extend these concepts and so characterize (pre)image of them in semigroup homomorphisms.


Neutrosophic Regular Rings And Properties Of Their Ideals, Murhaf Riad Alabdullah Aug 2024

Neutrosophic Regular Rings And Properties Of Their Ideals, Murhaf Riad Alabdullah

Neutrosophic Sets and Systems

The goal of the research is to discover the required and sufficient conditions for ��(��) to be a neutrosophic regular as well as the properties of the neutrosophic ideals in the neutrosophic regular ring. Despite differences in the form of the elements and ideals in neutrosophic and classical rings, we discovered that the necessary and sufficient requirements for the classical ring to be regular also apply to neutrosophic rings.


Developing Neutrosophic Cubic Spherical Fuzzy Sets Along With Their Exponential Aggregation Operators For Decision-Making Problems, Monika Yadav, Rakesh Kumar Bajaj, Aman Sharma Aug 2024

Developing Neutrosophic Cubic Spherical Fuzzy Sets Along With Their Exponential Aggregation Operators For Decision-Making Problems, Monika Yadav, Rakesh Kumar Bajaj, Aman Sharma

Neutrosophic Sets and Systems

In this article, we have devised the notion of neutrosophic cubic spherical fuzzy sets (NCSFSs) for the first time and discussed their basic binary operations along with important properties. This proposition has been framed superimposing the existing notions of spherical neutrosophic set (SNS) as well as the interval-valued neutrosophic spherical fuzzy set (IVNSFS). This proposition computationally helps in handling incompatible situations where each element has been addressed by truth, indeterminacy, and false membership values. Next, some important exponential operational laws have been relationally established for NCSFSs, highlighting their significant properties. Furthermore, to address decision-making challenges in the NCSFS environment, we …


Finding Minimal Units In Several Two-Fold Fuzzy Finite Neutrosophic Rings, Raed Hatamleh, Ayman Hazaymeh Aug 2024

Finding Minimal Units In Several Two-Fold Fuzzy Finite Neutrosophic Rings, Raed Hatamleh, Ayman Hazaymeh

Neutrosophic Sets and Systems

In this paper, we have defined the concept of minimal units in finite two-fold fuzzy neutrosophic rings modulo integers as a generalization of classical elements of the group of units of the mentioned neutrosophic rings. We apply our results to characterize all minimal units in the following two-fold neutrosophic rings (����(��)) ���� for �� ∈ {2,3,4,5}.


Magdm Technique Based On Linguistic Neutrosophic Tangent Dombi Aggregation Operators And Its Application In Selecting New Energy Design Schemes, Lu Niu, Jun Ye Aug 2024

Magdm Technique Based On Linguistic Neutrosophic Tangent Dombi Aggregation Operators And Its Application In Selecting New Energy Design Schemes, Lu Niu, Jun Ye

Neutrosophic Sets and Systems

In linguistic decision theory, multi-attribute group decision-making (MAGDM) of linguistic neutrosophic numbers (LNNs) is one of the crucial research topics. Existing LNN aggregation algorithms do not consider trigonometric periodicity. In this case, they cannot perform MAGDM problems including periodic/multitemporal applications in LNN scenarios. To fill this gap, this article aims to present a MAGDM technique using the LNN tangent Dombi aggregation operators (TDAOs) for addressing MAGDM issues including multitemporal/periodic applications in LNN scenarios. First, we present the linguistic tangent Dombi t-norm and t-conorm and the LNN tangent Dombi operation laws. Second, we propose the LNN tangent Dombi weighted average and …


Operations With N-Refined Literal Neutrosophic Numbers Using The Identification Method And The N-Refined Ah-Isometry, Florentin Smarandache, Mohammad Abobala Aug 2024

Operations With N-Refined Literal Neutrosophic Numbers Using The Identification Method And The N-Refined Ah-Isometry, Florentin Smarandache, Mohammad Abobala

Neutrosophic Sets and Systems

If we know the determinate and sub-indeterminate part(s) of an argument a0  a1I1  a2I2 ... anIn how do we similarly find the determinate and sub-indeterminate part(s) of a function (or operation) of this argument 0 1 1 2 2 ( ... )? n n f a  a I  a I   a I The AH-Isometry is designed to do just that. The function f may be of one or more variables (arguments), it may also be some unary or n-ary operation. Real examples are presented in this paper of such arguments and functions. We now …


Divergence Measures And Aggregation Operators For Single-Valued Neutrosophic Sets With Applications In Decision-Making Problems, Surender Singh, Sonam Sharma Aug 2024

Divergence Measures And Aggregation Operators For Single-Valued Neutrosophic Sets With Applications In Decision-Making Problems, Surender Singh, Sonam Sharma

Neutrosophic Systems with Applications

Single-valued neutrosophic sets (SVNSs) facilitate the representation of uncertain information more extensively than conventional methods. The study of divergence measures of SVNSs is important due to their applications in different areas like multi-criteria decision-making (MCDM), pattern recognition, cluster analysis, machine learning, etc., In this paper, we introduce a divergence measure for SVNSs. The suggested divergence measure is applied to cluster analysis for the classification of imprecise data. For establishing the reasonability and advantage of the suggested divergence measure in a clustering problem over the existing measures, a comparative assessment is also presented. Furthermore, we introduce, an inferior ratio method for …


An Adaptive Neutrosophic Large Neighborhood Search And Its Application, Jun Jiang, Fangwei Zhang, Yiying Pan, Rui Wang, Zhu Han Aug 2024

An Adaptive Neutrosophic Large Neighborhood Search And Its Application, Jun Jiang, Fangwei Zhang, Yiying Pan, Rui Wang, Zhu Han

Neutrosophic Sets and Systems

the improvement degree in the new solution, which causes fuzziness and uncertainty in the operator score. To solve the aforementioned problem, the main innovation of this study is to propose an adaptive neutrosophic large neighborhood search (ANLNS). Specifically, the main work is as follows. Firstly, the number of times each operator scores are quantified by constructing NSs, thereby analyzing algorithm performance and preventing the idealization of scores. Secondly, a novel neutrosophic utility function and score function are proposed to assign an appropriate score for the operator within a reasonable interval. Finally, the effectiveness and robustness of the proposed ANLNS is …


The Indefinite Integrals Of Refined Neutrosophic Trigonometric Functions, Yaser Ahmad Alhasan, Florentin Smarandache, Mohamed Elghazali Ali Mohamed, Raja Abdullah Abdulfatah Aug 2024

The Indefinite Integrals Of Refined Neutrosophic Trigonometric Functions, Yaser Ahmad Alhasan, Florentin Smarandache, Mohamed Elghazali Ali Mohamed, Raja Abdullah Abdulfatah

Neutrosophic Sets and Systems

in this paper, we presented the indefinite integrals of refined neutrosophic trigonometric functions, where we discussed the integrals by distinguishing several cases of these types of refined neutrosophic integrals. Also, we introduced the refined neutrosophic trigonometric identities, which makes it easier for us to find these types of integrals. In addition, to supporting this with appropriate examples.


Utilizing New Temporal Complex Neutrosophic Aczel-Alsina Aggregation Operators For Multi-Criteria Decision Making: An Application To Tourist Destination Selection, Le Mai Trang, Nguyen Tho Thong, Nguyen Thi Lan Nhi Aug 2024

Utilizing New Temporal Complex Neutrosophic Aczel-Alsina Aggregation Operators For Multi-Criteria Decision Making: An Application To Tourist Destination Selection, Le Mai Trang, Nguyen Tho Thong, Nguyen Thi Lan Nhi

Neutrosophic Sets and Systems

The Temporal Complex Neutrosophic Set (TCNS) is a powerful extension of the Neutrosophic theory, and TCNS has added advantage to represents uncertain, indeterminate, inconsistent and time related factors. In the literature TCNS has been used for multi-criteria decision-making problems, especially in the time-aware systems. In order to tackle effectively decision-making problems in the TCNS environment effectively, it is crucial to make suite aggregation operators that enable decision makers to process preferences in a nuanced manner. In this paper, we introduce novel TCNS aggregation operators based on Aczel and Alsina t-norm and t-conorm using Aczel-Alsina operations, and we propose a multi-criteria …


Ed Point Results In Neutrosophic B- Metric Like Spaces, Pandiselvi M., Jeyaraman. M. Aug 2024

Ed Point Results In Neutrosophic B- Metric Like Spaces, Pandiselvi M., Jeyaraman. M.

Neutrosophic Sets and Systems

In this manuscript we introduce the idea of Neutrosophic b-metric like spaces along with numerous significant illustrations. Moreover, we present numerous fixed point results in Neutrosophic b-metric like space and we gave some examples to support our main results.


A New Approach Of Tree Soft Set With Mcdm Technique For Leadership In International Climate Policy: Measuring Renewable Energy Sources And Policies, Nouran Ajabnoor Aug 2024

A New Approach Of Tree Soft Set With Mcdm Technique For Leadership In International Climate Policy: Measuring Renewable Energy Sources And Policies, Nouran Ajabnoor

Neutrosophic Sets and Systems

Green technological progress can be achieved by mitigation efforts of leadership in climate policy. Renewable energies need to develop technological innovations for more competitive advantages. This study proposed a decision-making methodology for evaluating renewable energy sources under leadership in international climate policy. This study used the multi-criteria decision-making methodology to deal with conflicting criteria in the decision-making problem. The evaluation is based on the distance from the average solution (EDAS) method, which ranks the alternatives. The criteria weights are computed by using the average method. The neutrosophic set deals with uncertainty and vague information in the evaluation process. The neutrosophic …


Generalized Symmetric Fermatean Neutrosophic Fuzzy Matrices, M. Anandhkumar, A. Bobin, S. M. Chithra, V. Kamalakannan Aug 2024

Generalized Symmetric Fermatean Neutrosophic Fuzzy Matrices, M. Anandhkumar, A. Bobin, S. M. Chithra, V. Kamalakannan

Neutrosophic Sets and Systems

This study explores a new type of matrix called a range-symmetric Fermatean neutrosophic fuzzy matrix (FNFM), inspired by the concept of range-Hermitian matrices. We demonstrate that all FNFMs inherently possess a specific property we term "Pythagorean neutrosophic fuzzy," (PNFM) but the reverse is not always true. Furthermore, we delve into graphical representations of FNFMs with specific symmetry properties (kernel-symmetric (KS), column symmetric, and range-symmetric (RS)) and show that these properties hold for all isomorphic graphs. The study goes on to establish equivalent characterizations for range-symmetric FNFMs and identify conditions for KS FNFMs. We introduce a novel concept: k-KS and RS …


Operators Based On Multiple Generalized Set-Valued Neutrosophic Quadruple Sets, Abdullah Kargın, Memet Şahin, Kübra Arıtı Şiğva Aug 2024

Operators Based On Multiple Generalized Set-Valued Neutrosophic Quadruple Sets, Abdullah Kargın, Memet Şahin, Kübra Arıtı Şiğva

Neutrosophic Sets and Systems

In this study, as a generalized form of multiple valued neutrosophic numbers and neutrosophic quadruple numbers, multiple generalized set-valued neutrosophic quadruple numbers and sets are defined and their basic properties are given. Thus, a new structure is obtained in which multi-valued neutrosophic sets and neutrosophic quadruple sets are used together. Also, optimistic union, pessimistic union, average union, pessimistic intersection, optimistic intersection, average intersection operators are defined for multiple generalized set-valued neutrosophic quadruples. Thus, multiple generalized set-valued neutrosophic quadruple sets were made usable in decision-making applications. Researchers can obtain more objective results in decision making applications by using these operators.


Some Operators For Interval Generalized Set Valued Neutrosophic Quintuple Numbers And Sets, Memet Şahin, Abdullah Kargın, Damla Yalva Aug 2024

Some Operators For Interval Generalized Set Valued Neutrosophic Quintuple Numbers And Sets, Memet Şahin, Abdullah Kargın, Damla Yalva

Neutrosophic Sets and Systems

In this study, some constructions related to interval generalized set-valued neutrosophic quintuple sets and score and certainty functions are given. Moreover, optimistic union, pessimistic union, mean union, optimistic intersection, pessimistic intersection and mean intersection operators are defined for interval generalized set-valued neutrosophic quintuple set. Thus, interval generalized set-valued neutrosophic quintuple set are effectively used in decision making applications. An example application was realised using these operators and functions. With this application, the use of operators and functions in decision making methods was demonstrated. In addition, it was concluded that similar or different results can be obtained by using different operators. …


Trf-Bwm-Neutrosophic-Topsis Strategy Under Svns Environment Approach And Its Application To Select The Most Effective Water Quality Parameter Of Aquaponic System, Pragnaleena Debroy, Priyanka Majumder, Surapati Pramanik, Lalu Seban Aug 2024

Trf-Bwm-Neutrosophic-Topsis Strategy Under Svns Environment Approach And Its Application To Select The Most Effective Water Quality Parameter Of Aquaponic System, Pragnaleena Debroy, Priyanka Majumder, Surapati Pramanik, Lalu Seban

Neutrosophic Sets and Systems

The rapid emergence of aquaponics presents a promising solution for food production in arid regions, heavily reliant on maintaining optimal water quality parameters for overall success. However, monitoring and controlling these parameters can be complex and costly, involving numerous sensors and actuators. Focusing on the most significant parameter for fish growth could alleviate some of this complexity and promote sustainability by ensuring a balanced system. This study introduces a novel fuzzy-based Multiple Criteria Decision Making (MCDM) methodology, combining Trapezoidal Fuzzy with the Best Worst Method (BWM) and Neutrosophic-TOPSIS strategy, to identify the primary water quality parameters impacting fish growth. Through …


Harmonic Mean Operator Based Madm-Strategy Under Svpn-Set Environment, Bimal Shil, Suman Das, Rakhal Das, Binod Chandra Tripathy Aug 2024

Harmonic Mean Operator Based Madm-Strategy Under Svpn-Set Environment, Bimal Shil, Suman Das, Rakhal Das, Binod Chandra Tripathy

Neutrosophic Sets and Systems

By using single-valued pentapartitioned neutrosophic set (briefly SVPN-set), one can express uncertainty events having incomplete, indeterminate, and erroneous information in practical applications. This study's primary goal is to present a multi-attribute decision-making (briefly MADM) algorithm that operates in the SVPN-set environment using the notion of single-valued pentapartitioned neutrosophic harmonic mean (briefly SVPNHM) operator and single-valued pentapartitioned neutrosophic weighted harmonic mean (briefly SVPNWHM) operator. Further, we provide a numerical illustration here like, “Location Selection for Installation of Outdoor Air Purifier” to validate the effectiveness and rationality of the proposed MADM algorithm.


New Neutrosophic Sentiment Analysis Method Based On Neutroalgebra For The Evaluation Of Ethics In Companies, Lilia Esther Valencia Cruzaty, Adriana Mercedes Ruiz Reynoso, Blanca Estela Hernández Boni-Lla Aug 2024

New Neutrosophic Sentiment Analysis Method Based On Neutroalgebra For The Evaluation Of Ethics In Companies, Lilia Esther Valencia Cruzaty, Adriana Mercedes Ruiz Reynoso, Blanca Estela Hernández Boni-Lla

Neutrosophic Sets and Systems

Ethics is a discipline that has broken the limits of its field of study, which is related to having the right behavior towards other people, but also to respect nature and life. This has been extended to the accounting and organizational management of companies. This paper proposes a sentiment analysis method based on the NeutroGroup obtained from offuninorms defined by the combining functions in Prospector. The advantage of the proposed method is that in addition to "like" and "dislike", we obtain a result of indeterminacy that can be due either to neutrality or to a contradiction in the short informal …


A New Development Of Entropy And Similarity Measures In Temporal Complex Neutrosophic Environments For Tourist Destination Selection, Luong Thi Hong Lan, Nguyen Tho Thong, Nguyen Long Giang, Florentin Smarandache Aug 2024

A New Development Of Entropy And Similarity Measures In Temporal Complex Neutrosophic Environments For Tourist Destination Selection, Luong Thi Hong Lan, Nguyen Tho Thong, Nguyen Long Giang, Florentin Smarandache

Neutrosophic Sets and Systems

In human existence, making decisions is a common event. Various techniques have been devised to tackle decision-making troubles in practical situations. Over the past ten years, a great deal of study has concentrated on quantifying the degree of ambiguity and unpredictability in knowledge using the concept of neutrosophic sets or extensions thereof. An efficient framework for handling information in decision-making problems involving uncertain, indeterminate, and time-related aspects is the Temporal Complex Neurosophic Set (TCNS). Measures of entropy and similarity can be helpful for evaluating data to solve multicriteria decisionmaking (MCDM) challenges in practical situations. However, TCNS information measurements were of …


Statistical Convergence Sequences In Neutrosophic Metric Spaces, J. Johnsy, M. Jeyaraman Aug 2024

Statistical Convergence Sequences In Neutrosophic Metric Spaces, J. Johnsy, M. Jeyaraman

Neutrosophic Sets and Systems

In this study, motivated by the notion of statistical convergence in intuitionistic fuzzy metric space, we present the ideas of statistical convergence and cauchy sequences with regard to the neutrosophic metric spaces. This study also discusses the statistical completeness on neutrosophic metric space with an example and results.