Author : Majdoleen Abu Qamar
Publisher : Infinite Study
Page : 18 pages
File Size : 42,27 MB
Release :
Category : Mathematics
ISBN :
A neutrosophic set was proposed as an approach to study neutral uncertain information. It is characterized through three memberships, T, I and F, such that these independent functions stand for the truth, indeterminate, and false-membership degrees of an object. The neutrosophic set presents a symmetric form since truth enrolment T is symmetric to its opposite false enrolment F with respect to indeterminacy enrolment I that acts as an axis of symmetry.
Author : H. M. Balami
Publisher : Infinite Study
Page : 27 pages
File Size : 17,92 MB
Release :
Category : Mathematics
ISBN :
In this paper, neutrosophic soft set was studied and an observation made of the potential of its application in real life problems, multicriteria decision making problems in particular. To achieve some of the underlying goals, there is a need to de ne certain algebraic operations, namely, restricted intersection, extended intersection and restricted union. Some basic properties emerging from the de nitions are presented and they include union, AND-product and OR-product operations. Some De Morgan's laws and the concept of inclusions are also established in neutrosophic soft set context. Some examples of the application of neutrosophic soft set in decision making problems using level soft sets of neutrosophic soft sets were presented. Furthermore, the concept of weighted neutrosophic soft set were discussed and applied to multicriteria decision making problems.
Author : Muhammad Riaz
Publisher : Infinite Study
Page : 22 pages
File Size : 20,95 MB
Release :
Category : Mathematics
ISBN :
In this manuscript, we introduce the notion of neutrosophic soft rough topology (NSR-topology) defined on neutrosophic soft rough set (NSR-set). We define certain properties of NSR- topology including NSR-interior, NSR-closure, NSR-exterior, NSR-neighborhood, NSR-limit point, and NSR-bases. Furthermore, we aim to develop some multi-criteria decision-making (MCDM) methods based on NSR-set and NSR-topology to deal with ambiguities in the real-world problems. For this purpose, we establish algorithm 1 for suitable brand selection and algorithm 2 to determinencore issues to control crime rate based on NSR-lower approximations, NSR-upper approximations, matrices, core, and NSR-topology.
Author : Ashraf Al-Quran
Publisher : Infinite Study
Page : 14 pages
File Size : 12,85 MB
Release :
Category :
ISBN :
This paper presents a novel complex neutrosophic soft expert set (CNSES) concept. The range of values of CNSES is extended to the unit circle in the complex plane by adding an additional term called the phase term which describes CNSES’s elements in terms of the time aspect.
Author : Florentin Smarandache
Publisher : MDPI
Page : 207 pages
File Size : 42,72 MB
Release : 2018-10-12
Category : Mathematics
ISBN : 3038972886
This book is a printed edition of the Special Issue "Neutrosophic Multi-Criteria Decision Making" that was published in Axioms
Author : Subhadip Roy
Publisher : Infinite Study
Page : 17 pages
File Size : 22,10 MB
Release :
Category : Mathematics
ISBN :
In this paper, a definition of quadripartitioned single valued bipolar neutrosophic set (QSVBNS) is introduced as a generalization of both quadripartitioned single valued neutrosophic sets (QSVNS) and bipolar neutrosophic sets (BNS). There is an inherent symmetry in the definition of QSVBNS. Some operations on them are defined and a set theoretic study is accomplished. Various similarity measures and distance measures are defined on QSVBNS. An algorithm relating to multi-criteria decision making problem is presented based on quadripartitioned bipolar weighted similarity measure. Finally, an example is shown to verify the flexibility of the given method and the advantage of considering QSVBNS in place of fuzzy sets and bipolar fuzzy sets.
Author : Xindong Peng
Publisher : Infinite Study
Page : 14 pages
File Size : 46,88 MB
Release :
Category :
ISBN :
This paper presents three novel single-valued neutrosophic soft set (SVNSS) methods. First, we initiate a new axiomatic definition of single-valued neutrosophic similarity measure, which is expressed by single-valued neutrosophic number (SVNN) that will reduce the information loss and remain more original information.
Author : Florentin Smarandache
Publisher : Infinite Study
Page : 652 pages
File Size : 33,55 MB
Release : 2021-12-30
Category : Antiques & Collectibles
ISBN :
Papers on neutrosophic statistics, neutrosophic probability, plithogenic set, paradoxism, neutrosophic set, NeutroAlgebra, etc. and their applications.
Author : Harish Garg
Publisher : Springer Nature
Page : 443 pages
File Size : 30,18 MB
Release : 2021-07-22
Category : Mathematics
ISBN : 9811619891
This book presents a collection of recent research on topics related to Pythagorean fuzzy set, dealing with dynamic and complex decision-making problems. It discusses a wide range of theoretical and practical information to the latest research on Pythagorean fuzzy sets, allowing readers to gain an extensive understanding of both fundamentals and applications. It aims at solving various decision-making problems such as medical diagnosis, pattern recognition, construction problems, technology selection, and more, under the Pythagorean fuzzy environment, making it of much value to students, researchers, and professionals associated with the field.
Author : Florentin Smarandache
Publisher : Infinite Study
Page : 143 pages
File Size : 34,25 MB
Release : 2018
Category : Mathematics
ISBN : 159973561X
“Neutrosophic Sets and Systems” has been created for publications on advanced studies in neutrosophy, neutrosophic set, neutrosophic logic, neutrosophic probability, neutrosophic statistics that started in 1995 and their applications in any field, such as the neutrosophic structures developed in algebra, geometry, topology, etc.
