Bipolar Neutrosophic Sets And Their Application Based On Multi Criteria Decision Making Problems
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Bipolar Neutrosophic Sets and Their Application Based on Multi-Criteria Decision Making Problems by Irfan Deli,Mumtaz Ali,Florentin Smarandache Pdf
In this paper, we introduce concept of bipolar neutrosophic set and its some operations. Also, we propose score, certainty and accuracy functions to compare the bipolar neutrosophic sets.
Similarity measures of bipolar neutrosophic sets and their application to multiple criteria decision making by Vakkas Ulucay,Irfan Deli,Mehmet Sahin Pdf
In this paper, we introduced some similarity measures for bipolar neutrosophic sets such as; Dice similarity measure, weighted Dice similarity measure, Hybrid vector similarity measure and weighted Hybrid vector similarity measure. Also we examine the propositions of the similarity measures. Furthermore, a multi-criteria decision-making method for bipolar neutrosophic set is developed based on these given similarity measures. Then, a practical example is shown to verify the feasibility of the new method. Finally, we compare the proposed method with the existing methods in order to demonstrate the practicality and effectiveness of the developed method in this paper.
Frank Choquet Bonferroni Mean Operators of Bipolar Neutrosophic Sets and Their Application to Multi-criteria Decision-Making Problems by Le Wang,Hong-yu Zhang,Jian-qiang Wang Pdf
In this study, comprehensive multi-criteria decision-making (MCDM) methods are investigated under bipolar neutrosophic environment.
An Application of Neutrosophic Bipolar Vague On Multi-Criteria Decision Making Problems by Princy R., Mohana K. Pdf
In this paper, we studied the concept of neutrosophic bipolar vague set and some of its operations. Also, we propose score, certainty and accuracy functions to compare the neutrosophic bipolar vague sets.
Cross Entropy Measures of Bipolar and Interval Bipolar Neutrosophic Sets and Their Application for Multi-Attribute Decision-Making by Surapati Pramanik,Partha Pratim Dey,Florentin Smarandache,Jun Ye Pdf
The bipolar neutrosophic set is an important extension of the bipolar fuzzy set. The bipolar neutrosophic set is a hybridization of the bipolar fuzzy set and neutrosophic set.
Similarity Measures of Quadripartitioned Single Valued Bipolar Neutrosophic Sets and Its Application in Multi-Criteria Decision Making Problems by Subhadip Roy ,Jeong-Gon Lee,Anita Pal,Syamal Kumar Samanta Pdf
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.
On Multi-Criteria Decision Making problem via Bipolar Single-Valued Neutrosophic Settings by Mohana K., Christy V.,Florentin Smarandache Pdf
In this paper, the idea bipolar single-valued neutrosophic (BSVN) set was introduced. We also introduce bipolar single-valued neutrosophic topological space and some of its properties were characterized. Comparing Bipolar single-valued neutrosophic sets with score function, certainty function and accuracy function .Bipolar single-valued neutrosophic weighted average operator (Aω) and bipolar single-valued neutrosophic weighted geometric operator (Gω) were developed and based on Bipolar single-valued neutrosophic set, a multiple decision making problem were evaluated through an example to select the desirable one.
Fuzzy Multi-criteria Decision-Making Using Neutrosophic Sets by Cengiz Kahraman,İrem Otay Pdf
This book offers a comprehensive guide to the use of neutrosophic sets in multiple criteria decision making problems. It shows how neutrosophic sets, which have been developed as an extension of fuzzy and paraconsistent logic, can help in dealing with certain types of uncertainty that classical methods could not cope with. The chapters, written by well-known researchers, report on cutting-edge methodologies they have been developing and testing on a variety of engineering problems. The book is unique in its kind as it reports for the first time and in a comprehensive manner on the joint use of neutrosophic sets together with existing decision making methods to solve multi-criteria decision-making problems, as well as other engineering problems that are complex, hard to model and/or include incomplete and vague data. By providing new ideas, suggestions and directions for the solution of complex problems in engineering and decision making, it represents an excellent guide for researchers, lecturers and postgraduate students pursuing research on neutrosophic decision making, and more in general in the area of industrial and management engineering.
NS-Cross Entropy-Based MAGDM under Single-Valued Neutrosophic Set Environment by Surapati Pramanik , Shyamal Dalapati ,Shariful Alam ,Florentin Smarandache ,Tapan Kumar Roy Pdf
A single-valued neutrosophic set has king power to express uncertainty characterized by indeterminacy, inconsistency and incompleteness. Most of the existing single-valued neutrosophic cross entropy bears an asymmetrical behavior and produces an undefined phenomenon in some situations.
An Outranking Approach for MCDM-Problems with Neutrosophic Multi-Sets by Vakkas Uluçay,Adil Kılıç,İsmet Yıldız,Memet Şahin Pdf
In this paper, we introduced a new outranking approach for multi-criteria decision making (MCDM) problems to handle uncertain situations in neutrosophic multi environment. Therefore, we give some outranking relations of neutrosophic multi sets. We also examined some desired properties of the outranking relations and developed a ranking method for MCDM problems. Moreover, we describe a numerical example to verify the practicality and effectiveness of the proposed method.
Neutrosophic Sets and Systems by Florentin Smarandache,Surapati Pramanik Pdf
“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.
Neutrosophic Sets and Systems by Florentin Smarandache,Surapati Pramanik Pdf
“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.
Bipolar Neutrosophic Dombi Aggregation Operators with Application in Multi-attribute Decision Making Problems by Muhammad Khalid Mahmood,Shouzhen Zeng,Muhammad Gulfam,Shahbaz Ali,Yun Jin Pdf
In this paper, Dombi t-norm (TN) and Dombi t-conorm (TCN) are used to generate more complex, flexible and feasible operation rules by managing a parameter in bipolar neutrosophic fuzzy (BNF) environment. We introduce the notion of bipolar neutrosophic Dombi weighted geometric aggregation (BNDWGA) and bipolar neutrosophic Dombi ordered weighted geometric aggregation (BNDOWGA) operators.
VIKOR Based MAGDM strategy under Bipolar Neutrosophic Set Environment by Surapati Pramanik,Shyamal Dalapati,Shariful Alam,Tapan Kumar Roy Pdf
In this paper, we extend the VIKOR (VIsekriterijumska optimizacija i KOmpromisno Resenje) strategy to multiple attribute group decision-making (MAGDM) with bipolar neutrosophic set environment. In this paper, we first define VIKOR strategy in bipolar neutrosophic set environment to handle MAGDM problems, which means we combine the VIKOR with bipolar neutrosophic number to deal with MAGDM.
