Application of the Bipolar Neutrosophic Hamacher Averaging Aggregation Operators to Group Decision Making: An Illustrative Example

Application of the Bipolar Neutrosophic Hamacher Averaging Aggregation Operators to Group Decision Making: An Illustrative Example
Author: Muhammad Jamil
Publisher: Infinite Study
Total Pages: 21
Release:
Genre: Mathematics
ISBN:

The present study aims to introduce the notion of bipolar neutrosophic Hamacher aggregation operators and to also provide its application in real life. Then neutrosophic set (NS) can elaborate the incomplete, inconsistent, and indeterminate information, Hamacher aggregation operators, and extended Einstein aggregation operators to the arithmetic and geometric aggregation operators.

Multi-criteria Decision Making Methods with Bipolar Fuzzy Sets

Multi-criteria Decision Making Methods with Bipolar Fuzzy Sets
Author: Muhammad Akram
Publisher: Springer Nature
Total Pages: 232
Release: 2023-05-21
Genre: Business & Economics
ISBN: 9819905699

This monograph discusses the theoretical and practical development of multicriteria decision making (MCDM). The main purpose of MCDM is the construction of systematized strategies for the "optimisation" of feasible options, as well as the justification of why some alternatives can be declared "optimal". However, at time, we must make decisions in an uncertain environment and such inconvenience gives rise to a much more elaborate scenario. This book highlights models where this lack of certainty can be flexibly fitted in and goes on to explore valuable strategies for making decisions under a multiplicity of criteria. Methods discussed include bipolar fuzzy TOPSIS method, bipolar fuzzy ELECTRE-I method, bipolar fuzzy ELECTRE-II method, bipolar fuzzy VIKOR method, bipolar fuzzy PROMETHEE method, and two-tuple linguistic bipolar fuzzy Heronian mean operators. This book is a valuable resource for researchers, computer scientists, and social scientists alike.

Neutrosophic Multi-Criteria Decision Making

Neutrosophic Multi-Criteria Decision Making
Author: Florentin Smarandache
Publisher: MDPI
Total Pages: 207
Release: 2018-10-12
Genre: Mathematics
ISBN: 3038972886

This book is a printed edition of the Special Issue "Neutrosophic Multi-Criteria Decision Making" that was published in Axioms

Bipolar neutrosophic distance measure in multi-attribute decision making

Bipolar neutrosophic distance measure in multi-attribute decision making
Author: Chunfang Liu
Publisher: Infinite Study
Total Pages: 13
Release:
Genre: Mathematics
ISBN:

Bipolar neutrosophic set(BNS) is a generalization of bipolar fuzzy set and neutrosophic set that can describe the uncertain information from both positive and negative perspectives. In this contribution, we study the multi-attribute decision making methods based on the distance measure under the uncertain information which the attribute weights are incompletely known or completely unknown.

Some linguistic neutrosophic Hamy mean operators and their application to multiattribute group decision making

Some linguistic neutrosophic Hamy mean operators and their application to multiattribute group decision making
Author: Peide Liu
Publisher: Infinite Study
Total Pages: 26
Release:
Genre:
ISBN:

Linguistic neutrosophic numbers (LNNs) can easily describe the incomplete and indeterminate information by the truth, indeterminacy, and falsity linguistic variables (LVs), and the Hamy mean (HM) operator is a good tool to deal with multiple attribute group decision making (MAGDM) problems because it can capture the interrelationship among the multi-input arguments.

Neutrosophic cubic Heronian mean operators with applications in multiple attribute group decision-making using cosine similarity functions

Neutrosophic cubic Heronian mean operators with applications in multiple attribute group decision-making using cosine similarity functions
Author: Muhammad Gulistan
Publisher: Infinite Study
Total Pages: 21
Release:
Genre: Mathematics
ISBN:

This article introduces the concept of Heronian mean operators, geometric Heronian mean operators, neutrosophic cubic number–improved generalized weighted Heronian mean operators, neutrosophic cubic number–improved generalized weighted geometric Heronian mean operators. These operators actually generalize the operators of fuzzy sets, cubic sets, and neutrosophic sets. We investigate the average weighted operator on neutrosophic cubic sets and weighted geometric operator on neutrosophic cubic sets to aggregate the neutrosophic cubic information. After this, based on average weighted and geometric weighted and cosine similarity function in neutrosophic cubic sets, we developed a multiple attribute group decision-making method. Finally, we give a mathematical example to illustrate the usefulness and application of the proposed method.

Multiple-criteria Decision-making Based on the Use of Single-valued Neutrosophic Sets and Similarity Measures

Multiple-criteria Decision-making Based on the Use of Single-valued Neutrosophic Sets and Similarity Measures
Author: Dragisa Stanujkic
Publisher: Infinite Study
Total Pages: 19
Release: 2021-02-01
Genre: Mathematics
ISBN:

As the generalization of the fuzzy and similar sets based on Fuzzy sets, neutrosophic sets provide significant possibilities in the case of solving complex decision problems, often related to uncertainty and unreliability. Neutrosophic sets use three values named the truth degree, the indeterminacy degree and the falsity degree, which allow for a more accurate evaluation of alternatives in relation to complex evaluation criteria. As a result of their application in solving numerous different decision-making problems, several approaches to their ranking have been proposed. Therefore, this paper provides a comprehensive overview of the approaches to the ranking of single-valued neutrosophic numbers and a comparison of the results obtained by using them. Finally, numerical illustrations are given.