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Author: Xiaoman Wang Publisher: Infinite Study ISBN: Category : Mathematics Languages : en Pages : 15
Book Description
Single-valued neutrosophic set (SVNS) handling the uncertainties characterized by truth, indeterminacy, and falsity membership degrees, is an extension of fuzzy set and intuitionistic fuzzy set. It provides a more flexible way to capture uncertainty. This paper is devoted to the disscussion of relationships among several existing similarity measures of SVNSs. In addition, it is shown that some existing similarity measures are equivalent. The comparative results of this study provide convenience for applying similarity measures of SVNSs to practical problems.
Author: Xiaoman Wang Publisher: Infinite Study ISBN: Category : Mathematics Languages : en Pages : 15
Book Description
Single-valued neutrosophic set (SVNS) handling the uncertainties characterized by truth, indeterminacy, and falsity membership degrees, is an extension of fuzzy set and intuitionistic fuzzy set. It provides a more flexible way to capture uncertainty. This paper is devoted to the disscussion of relationships among several existing similarity measures of SVNSs. In addition, it is shown that some existing similarity measures are equivalent. The comparative results of this study provide convenience for applying similarity measures of SVNSs to practical problems.
Author: Abdel-Basset, Mohamed Publisher: IGI Global ISBN: 1799825574 Category : Computers Languages : en Pages : 470
Book Description
In information technology, the concepts of cost, time, delivery, space, quality, durability, and price have gained greater importance in solving managerial decision-making problems in supply chain models, transportation problems, and inventory control problems. Moreover, competition is becoming tougher in imprecise environments. Neutrosophic sets and logic are gaining significant attention in solving real-life problems that involve uncertainty, impreciseness, vagueness, incompleteness, inconsistency, and indeterminacy. Neutrosophic Sets in Decision Analysis and Operations Research is a critical, scholarly publication that examines various aspects of organizational research through mathematical equations and algorithms and presents neutrosophic theories and their applications in various optimization fields. Featuring a wide range of topics such as information retrieval, decision making, and matrices, this book is ideal for engineers, technicians, designers, mathematicians, practitioners of mathematics in economy and technology, scientists, academicians, professionals, managers, researchers, and students.
Author: Florentin Smarandache Publisher: Infinite Study ISBN: Category : Mathematics Languages : en Pages : 10
Book Description
In this paper one generalizes the intuitionistic fuzzy set (IFS), paraconsistent set, and intuitionistic set to the neutrosophic set (NS). Many examples are presented. Distinctions between NS and IFS are underlined.
Author: Subhadip Roy Publisher: Infinite Study ISBN: Category : Mathematics Languages : en Pages : 17
Book Description
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: Florentin Smarandache Publisher: Infinite Study ISBN: Category : Mathematics Languages : en Pages : 264
Book Description
“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.
Author: Florentin Smarandache Publisher: Infinite Study ISBN: Category : Mathematics Languages : en Pages : 262
Book Description
“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.
Author: Abhishek Guleria Publisher: Infinite Study ISBN: Category : Mathematics Languages : en Pages : 20
Book Description
In various decision-making models the divergence measure is found to be a useful information measure in handling impreciseness and uncertainty among the qualitative and quantitative factors of the decision-making process. In the proposed work, a novel parametric divergence measure for neutrosophic sets has been proposed along with its various properties.
Author: Qingqing Hu Publisher: Infinite Study ISBN: Category : Mathematics Languages : en Pages : 10
Book Description
In this paper, the decomposition theorem, representation theorem and the application of a new similarity measures of SVNMSs are studied by using theoretical analysis and calculations.
Author: Donghai Liu Publisher: Infinite Study ISBN: Category : Mathematics Languages : en Pages : 10
Book Description
Similarity measure is an important tool in multiple criteria decision-making problems, which can be used to measure the difference between the alternatives. In this paper, some new similarity measures of single-valued neutrosophic sets (SVNSs) and interval-valued neutrosophic sets (IVNSs) are defined based on the Euclidean distance measure, respectively, and the proposed similarity measures satisfy the axiom of the similarity measure. Furthermore, we apply the proposed similarity measures to medical diagnosis decision problem; the numerical example is used to illustrate the feasibility and effectiveness of the proposed similarity measures of SVNSs and IVNSs, which are then compared to other existing similarity measures.
Author: Ashraf Al-Quran Publisher: Infinite Study ISBN: Category : Mathematics Languages : en Pages : 15
Book Description
This paper introduces a novel soft computing technique called complex neutrosophic relation (CNR) to evaluate the degree of interaction between two complex neutrosophic sets (CNSs). CNSs are used to represent two-dimensional information that are imprecise, uncertain, incomplete and indeterminate.
Author: Xiaoman Wang
Author: Xiaoman Wang
Author: Abdel-Basset, Mohamed
Author: Florentin Smarandache
Author: Subhadip Roy 
Author: Florentin Smarandache
Author: Florentin Smarandache 
Author: Abhishek Guleria
Author: Qingqing Hu
Author: Donghai Liu 
Author: Ashraf Al-Quran