On An Asset Model Of Hobson-Rogers Type, 2020 4F Astro-Math Building, National Taiwan University, Taipei 10617, Taiwan

#### On An Asset Model Of Hobson-Rogers Type, Narn-Rueih Shieh

*Journal of Stochastic Analysis*

No abstract provided.

Plithogenic Cubic Sets, 2020 University of New Mexico

#### Plithogenic Cubic Sets, Florentin Smarandache, S.P. Priyadharshini, F. Nirmala Irudayam

*Mathematics and Statistics Faculty and Staff Publications*

In this article, using the concepts of cubic set and plithogenic set, the ideas of plithogenic fuzzy cubic set, plithogenic intuitionistic fuzzy cubic set, plithogenic neutrosophic cubic set are introduced and its corresponding internal and external cubic sets are discussed with examples.

A Novel Approach For Assessing The Reliability Of Data Contained In A Single Valued Neutrosophic Number And Its Application In Multiple Criteria Decision Making, 2020 University of New Mexico

#### A Novel Approach For Assessing The Reliability Of Data Contained In A Single Valued Neutrosophic Number And Its Application In Multiple Criteria Decision Making, Florentin Smarandache, Dragisa Stanujkic, Darjan Karabasevic, Gabrijela Popovic

*Mathematics and Statistics Faculty and Staff Publications*

Multiple criteria decision making is one of the many areas where neutrosophic sets have been applied to solve various problems so far.

On Product Of Smooth Neutrosophic Topological Spaces, 2020 University of New Mexico

#### On Product Of Smooth Neutrosophic Topological Spaces, Florentin Smarandache, Kalaivani Chandran, Swathi Sundari Sundaramoorthy, Saeid Jafari

*Mathematics and Statistics Faculty and Staff Publications*

In this paper, we develop the notion of the basis for a smooth neutrosophic topology in a more natural way. As a sequel, we define the notion of symmetric neutrosophic quasi-coincident neighborhood systems and prove some interesting results that fit with the classical ones, to establish the consistency of theory developed. Finally, we define and discuss the concept of product topology, in this context, using the definition of basis.

Length Neutrosophic Subalgebras Of Bck/Bci-Algebras, 2020 University of New Mexico

#### Length Neutrosophic Subalgebras Of Bck/Bci-Algebras, Florentin Smarandache, Young Bae Jun, Madad Khan, Seok-Zun Song

*Mathematics and Statistics Faculty and Staff Publications*

the notion of (i, j, k)-length neutrosophic subalgebras in BCK/BCI-algebras is introduced, and their properties are investigated. Characterizations of length neutrosophic subalgebras are discussed by using level sets of interval neutrosophic sets. Conditions for level sets of interval neutrosophic sets to be subalgebras are provided.

Tile Based Self-Assembly Of The Rook's Graph, 2020 California State University, San Bernardino

#### Tile Based Self-Assembly Of The Rook's Graph, Ernesto Gonzalez

*Electronic Theses, Projects, and Dissertations*

The properties of DNA make it a useful tool for designing self-assembling nanostructures. Branched junction molecules provide the molecular building blocks for creating target complexes. We model the underlying structure of a DNA complex with a graph and we use tools from linear algebra to optimize the self-assembling process. Some standard classes of graphs have been studied in the context of DNA self-assembly, but there are many open questions about other families of graphs. In this work, we study the rook's graph and its related design strategies.

Nonparametric Recursive Method For Kernel-Type Function Estimators For Censored Data, 2020 Alliance Sorbonne Universités, Université de Technologie de Compiègne, L.M.A.C., Compiègne, France

#### Nonparametric Recursive Method For Kernel-Type Function Estimators For Censored Data, Salim Bouzebda, Yousri Slaoui

*Journal of Stochastic Analysis*

No abstract provided.

“Playing The Whole Game”: A Data Collection And Analysis Exercise With Google Calendar, 2020 Smith College

#### “Playing The Whole Game”: A Data Collection And Analysis Exercise With Google Calendar, Albert Y. Kim, Johanna Hardin

*Statistical and Data Sciences: Faculty Publications*

We provide a computational exercise suitable for early introduction in an undergraduate statistics or data science course that allows students to “play the whole game” of data science: performing both data collection and data analysis. While many teaching resources exist for data analysis, such resources are not as abundant for data collection given the inherent difficulty of the task. Our proposed exercise centers around student use of Google Calendar to collect data with the goal of answering the question “How do I spend my time?” On the one hand, the exercise involves answering a question with near universal appeal, but ...

General Product Formula Of Multiple Integrals Of Lévy Process, 2020 University of Alberta, Edmonton, Alberta, T6G 2R3, Canada

#### General Product Formula Of Multiple Integrals Of Lévy Process, Nishant Agrawal, Yaozhong Hu, Neha Sharma

*Journal of Stochastic Analysis*

No abstract provided.

Continuous Dependence On The Coefficients For Mean-Field Fractional Stochastic Delay Evolution Equations, 2020 Cadi Ayyad University, Marrakesh, Morocco

#### Continuous Dependence On The Coefficients For Mean-Field Fractional Stochastic Delay Evolution Equations, Brahim Boufoussi, Salah Hajji

*Journal of Stochastic Analysis*

No abstract provided.

The Value Of Information Under Partial Information For Exponential Utility, 2020 University of Limpopo, Sovenga, X1106, 0727, South Africa

#### The Value Of Information Under Partial Information For Exponential Utility, Farai Julius Mhlanga, Mbakisi Dube

*Journal of Stochastic Analysis*

No abstract provided.

The Poincaré Duality Theorem And Its Applications, 2020 Chapman University

#### The Poincaré Duality Theorem And Its Applications, Natanael Alpay, Melissa Sugimoto, Mihaela Vajiac

*SURF Posters and Papers*

In this talk I will explain the duality between the deRham cohomology of a manifold M and the compactly supported cohomology on the same space. This phenomenon is entitled “Poincaré duality” and it describes a general occurrence in differential topology, a duality between spaces of closed, exact differentiable forms on a manifold and their compactly supported counterparts. In order to define and prove this duality I will start with the simple definition of the dual space of a vector space, with the definition of a positive definite inner product on a vector space, then define the concept of a manifold ...

A Review Of Fuzzy Soft Topological Spaces, Intuitionistic Fuzzy Soft Topological Spaces And Neutrosophic Soft Topological Spaces, 2020 University of New Mexico

#### A Review Of Fuzzy Soft Topological Spaces, Intuitionistic Fuzzy Soft Topological Spaces And Neutrosophic Soft Topological Spaces, Florentin Smarandache, M. Parimala, M. Karthika

*Mathematics and Statistics Faculty and Staff Publications*

The notion of fuzzy sets initiated to overcome the uncertainty of an object. Fuzzy topological space, intuitionistic fuzzy sets in topological structure space, vagueness in topological structure space, rough sets in topological space, theory of hesitancy and neutrosophic topological space, etc. are the extension of fuzzy sets. Soft set is a family of parameters which is also a set. Fuzzy soft topological space, intuitionistic fuzzy soft and neutrosophic soft topological space are obtained by incorporating soft sets with various topological structures. This motivates to write a review and study on various soft set concepts. This paper shows the detailed review ...

The Polar Form Of A Neutrosophic Complex Number, 2020 University of New Mexico

#### The Polar Form Of A Neutrosophic Complex Number, Florentin Smarandache, Riad K. Al-Hamido, Mayas Ismail

*Mathematics and Statistics Faculty and Staff Publications*

In this paper, we will define the exponential form of a neutrosophic complex number. We have proven some characteristics and theories, including the conjugate of the exponential form of a neutrosophic complex number, division of the exponential form of a neutrosophic complex numbers, multiplication of the exponential form of a neutrosophic complex numbers. In addition, we have given the method of changing from the exponential to the algebraic form of a complex number.

Combination Of The Single-Valued Neutrosophic Fuzzy Set And The Soft Set With Applications In Decision-Making, 2020 University of New Mexico

#### Combination Of The Single-Valued Neutrosophic Fuzzy Set And The Soft Set With Applications In Decision-Making, Florentin Smarandache, Ahmed Mostafa Khalil, Dunqian Chao, A. A. Azzam, W. Alharby

*Mathematics and Statistics Faculty and Staff Publications*

In this article, we propose a novel concept of the single-valued neutrosophic fuzzy soft set by combining the single-valued neutrosophic fuzzy set and the soft set. For possible applications, five kinds of operations (e.g., subset, equal, union, intersection, and complement) on single-valued neutrosophic fuzzy soft sets are presented. Then, several theoretical operations of single-valued neutrosophic fuzzy soft sets are given. In addition, the first type for the fuzzy decision-making based on single-valued neutrosophic fuzzy soft set matrix is constructed. Finally, we present the second type by using the AND operation of the single-valued neutrosophic fuzzy soft set for fuzzy ...

Intelligent Algorithm For Trapezoidal Interval Valued Neutrosophic Network Analysis, 2020 University of New Mexico

#### Intelligent Algorithm For Trapezoidal Interval Valued Neutrosophic Network Analysis, Florentin Smarandache, Said Broumi, Deivanayagampillai Nagarajan, Malayalan Lathamaheswari, Mohamed Talea, Assia Bakali

*Mathematics and Statistics Faculty and Staff Publications*

The shortest path problem has been one of the most fundamental practical problems in network analysis. One of the good algorithms is Bellman-Ford, which has been applied in network, for the last some years. Due to complexity in the decision-making process, the decision makers face complications to express their view and judgment with an exact number for single valued membership degrees under neutrosophic environment. Though the interval number is a special situation of the neutrosophic, it did not solve the shortest path problems in an absolute manner. Hence, in this work, the authors have introduced the score function and accuracy ...

Analyzing The Fractal Dimension Of Various Musical Pieces, 2020 University of Arkansas, Fayetteville

#### Analyzing The Fractal Dimension Of Various Musical Pieces, Nathan Clark

*Industrial Engineering Undergraduate Honors Theses*

One of the most common tools for evaluating data is regression. This technique, widely used by industrial engineers, explores linear relationships between predictors and the response. Each observation of the response is a fixed linear combination of the predictors with an added error element. The method is built on the assumption that this error is normally distributed across all observations and has a mean of zero. In some cases, it has been found that the inherent variation is not the result of a random variable, but is instead the result of self-symmetric properties of the observations. For data with these ...

Integrating Data Science Ethics Into An Undergraduate Major, 2020 Smith College

#### Integrating Data Science Ethics Into An Undergraduate Major, Benjamin Baumer, Randi L. Garcia, Albert Y. Kim, Katherine M. Kinnaird, Miles Q. Ott

*Statistical and Data Sciences: Faculty Publications*

We present a programmatic approach to incorporating ethics into an undergraduate major in statistical and data sciences. We discuss departmental-level initiatives designed to meet the National Academy of Sciences recommendation for weaving ethics into the curriculum from top-to-bottom as our majors progress from our introductory courses to our senior capstone course, as well as from side-to-side through co-curricular programming. We also provide six examples of data science ethics modules used in five different courses at our liberal arts college, each focusing on a different ethical consideration. The modules are designed to be portable such that they can be flexibly incorporated ...

Uniform Random Variate Generation With The Linear Congruential Method, 2020 University of North Florida

#### Uniform Random Variate Generation With The Linear Congruential Method, Joseph Free

*PANDION: The Osprey Journal of Research and Ideas*

This report considers the issue of using a speciﬁc linear congruential generator (LCG) to create random variates from the uniform(0,1) distribution. The LCG is used to generate multiple samples of pseudo-random numbers and statistical computation techniques are used to assess whether those samples could have resulted from a uniform(0,1) distribution. Source code is included with this report in the appendix along with annotations.

Plithogenic Cognitive Maps In Decision Making, 2020 University of New Mexico

#### Plithogenic Cognitive Maps In Decision Making, Florentin Smarandache, Nivetha Martin

*Mathematics and Statistics Faculty and Staff Publications*

Plithogenic sets introduced by Smarandache (2018) have disclosed new research vistas and this paper introduces the novel concept of plithogenic cognitive maps (PCM) and its applications in decision making. The new approach of defining instantaneous state neutrosophic vector with the confinement of indeterminacy to (0,1] is proposed to quantify the degree of indeterminacy. The resultant vector is obtained by applying instantaneous state vector through the connection matrix together with plithogenic operators comprising the contradiction degrees. The connection matrix is represented as fuzzy matrix and neutrosophic matrix and the resultant vector is determined by applying plithogenic fuzzy operators and plithogenic ...