Social and Behavioral Sciences Commons^™

نيوتروسوفيك أوفرسيت ، نيوتروسوفيك أونديرست ، وإزاحة نيوتروسوفيك [Neutrosophic Overset, Neutrosophic Underset, And Neutrosophic Offset], Florentin Smarandache, Riad K Al-Hamido (Translator From English To Arabic)), Khaled Adnan Alabdullah (Translator From English To Arabic)

Branch Mathematics and Statistics Faculty and Staff Publications

تم تعريف Neutrosophic Over-/ Under- / Off-Set and -Logic لأول مرة بواسطة Smarandache في عام 1995 ونشر في عام 2007. وهي مختلفة تمامًا عن المجموعات / المنطق / الاحتمالات الأخرى. قام بتمديد مجموعة العدلات على التوالي إلى Neutrosophic Overset {عندما يكون بعض مكونات neutrosophic> 1} ، Neutrosophic Underset {عندما يكون بعض مكونات neutrosophic <0} ، وإلى إزاحة Neutrosophic {عندما تكون بعض مكونات العدلات خارج الفاصل الزمني [0 ، 1] ، أي بعض مكونات العدلات> 1 ومكونات أخرى نيوتروسوفيك <0}. هذا ليس مفاجئًا فيما يتعلق بالمجموعة / المنطق الغامض الكلاسيكي ، أو المجموعة / المنطق الغامض الحدسي ، أو الاحتمال الكلاسيكي / غير الدقيق ، حيث لا يُسمح بالقيم خارج الفاصل الزمني [0 ، 1] ، نظرًا لأن عالمنا الحقيقي به العديد من الأمثلة و تطبيقات المكونات الزائدة / السفلية / البعيدة عن العدلات

Neutrosophic Over-/Under-/Off-Set and -Logic were defined for the first time by Smarandache in 1995 and published in 2007. They are totally different from other sets/logics/probabilities. He extended the neutrosophic set respectively to Neutrosophic Overset {when some neutrosophic component is > 1}, Neutrosophic Underset {when …

Introduction To Plithogenic Sociogram With Preference Representations By Plithogenic Number, Nivetha Martin, Florentin Smarandache, R. Priya

Branch Mathematics and Statistics Faculty and Staff Publications

The theory of Plithogeny is gaining momentum in recent times as it generalizes the concepts of fuzzy, intuitionistic fuzzy, neutrosophy and other extended representations of fuzzy sets. The relativity of the comprehensive and accommodative nature of plithogenic sets in dealing with attributes shall be applied to handle the decision–making problems in the field of sociology. This paper introduces the concepts of Plithogenic Sociogram (PS) and Plithogenic Number (PN) where the former is the integration of plithogeny to the sociometric technique of sociogram and the latter is the generalization of fuzzy, intuitionistic fuzzy and neutrosophic numbers that shall be used in …

Linguistic Functions, W. B. Vasantha Kandasamy, K. Ilanthenral, Florentin Smarandache

Branch Mathematics and Statistics Faculty and Staff Publications

In this book, the authors have proved the analogues of the Bolzano Weierstrass theorem for the linguistic version. Several concepts in the case of linguistic continuum are very distinct from the natural classical real continuum. Categorically, we have three linguistic variables: one leading to a continuum, some finite and orderable set, and some not orderable. We define a linguistic plane associated with linguistic variables and give graphs associated with linguistic functions.

Linguistic Graphs And Their Applications, W. B. Vasantha Kandasamy, K. Ilanthenral, Florentin Smarandache

Branch Mathematics and Statistics Faculty and Staff Publications

The authors define the notion of directed linguistic graphs and linguistic-weighted graphs.

The second chapter discusses all types of linguistic graphs, linguistic dyads, linguistic triads, linguistic wheels, complete linguistic graphs, connected linguistic graphs, disconnected linguistic graphs, and linguistic components of the graphs. Further we define the notion of linguistic subgraphs of a linguistic graph. The third chapter also introduces the notion of Linguistic Cognitive Maps (LCMs) analogous to Fuzzy Cognitive maps (FCMs). We also propose Linguistic relational Maps, which are analogous to Fuzzy Relational Maps. These models find applications in problems whose data is unsupervised, but the values are linguistic.

Linguistic Geometry And Its Applications, W. B. Vasantha Kandasamy, K. Ilanthenral, Florentin Smarandache

Branch Mathematics and Statistics Faculty and Staff Publications

The authors venture to define the notion of linguistic geometry in this book.

It is pertinent to keep on the record that linguistic geometry differs from the classical geometry.

Many fundamental concepts and notions of classical geometry are not valid or extendable in the case of linguistic geometry.

We discuss in dept the linguistic variables, graphs and geometry essential for social information networks.

And then develop the new notion of linguistic geometry and its related properties.

The concept of linguistic social information geometric networks is also developed.

Linguistic Semilinear Algebras And Linguistic Semivector Spaces, W. B. Vasantha Kandasamy, K. Ilanthenral, Florentin Smarandache

Branch Mathematics and Statistics Faculty and Staff Publications

This book introduces algebraic structures on linguistic sets associated with a linguistic variable.

The linguistics with single closed binary operations are only semigroups and monoids. Authors feel it is not possible to define the notion of linguistic group.

We describe the new notion of linguistic semirings, linguistic semifields, linguistic semivector spaces, and linguistic semilinear algebras defined over linguistic semifields.

We also define algebraic structures on linguistic subsets of a linguistic set associated with a linguistic variable.

Generation Of Creative Game Scene Patterns By The Neutrosophic Genetic Cocoso Method, Aurimas Petrovas, Romualdas Bausys, Edmundas Kazimieras Zavadskas, Florentin Smarandache

Branch Mathematics and Statistics Faculty and Staff Publications

Creative procedural generation requires, by its nature, a nondeterministic result. Each set of outputs has to satisfy the required criteria and, at the same time, has to show unique results to be considered creative. One of the keys to increasing nondeterminism is to use fuzzy neutrosophic sets. A combination of a CoCoSo multi-criteria decision algorithm with a genetic algorithm to generate game scenes was proposed. The algorithm satisfies the required game rules and improves the aesthetics value of the visual game scene. The proposed approach seeks to produce a creative solution which satisfies the replayability principle, when the solution is …