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Hesitant Fuzzy Set: Theory and Extension

โœ Scribed by Bahram Farhadinia


Publisher
Springer
Year
2021
Tongue
English
Leaves
162
Series
Computational Intelligence Methods and Applications
Edition
1
Category
Library

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โœฆ Synopsis


Covering a wide range of notions concerning hesitant fuzzy set and its extensions, this book provides a comprehensive reference to the topic. In the case where different sources of vagueness appear simultaneously, the concept of fuzzy set is not able to properly model the uncertainty, imprecise and vague information. In order to overcome such a limitation, different types of fuzzy extension have been introduced so far. Among them, hesitant fuzzy set was first introduced in 2010, and the existing extensions of hesitant fuzzy set have been encountering an increasing interest and attracting more and more attentions up to now. It is not an exaggeration to say that the recent decade has seen the blossoming of a larger set of techniques and theoretical outcomes for hesitant fuzzy set together with its extensions as well as applications.

As the research has moved beyond its infancy, and now it is entering a maturing phase with increased numbers and types of extensions, this book aims to give a comprehensive review of such researches. Presenting the review of many and important types of hesitant fuzzy extensions, and including references to a large number of related publications, this book will serve as a useful reference book for researchers in this field.

โœฆ Table of Contents


Preface
Contents
Acronyms
Chapter 1
Chapter 2
Chapter 3
Chapter 4
Chapter 5
Chapter 6
Chapter 7
Chapter 8
Chapter 9
Chapter 10
Chapter 11
Chapter 12
1 Hesitant Fuzzy Set
1.1 Hesitant Fuzzy Set
1.2 Hesitant Triangular Fuzzy Set
1.3 Interval-Valued Hesitant Fuzzy Set
1.4 Extended Hesitant Fuzzy Set
1.5 Higher Order Hesitant Fuzzy Set
1.6 Dual Hesitant Fuzzy Set
1.7 Dual Hesitant Triangular Fuzzy Set
1.8 Interval-Valued Dual Hesitant Fuzzy Set
References
2 Hesitant Fuzzy Linguistic Term Set
2.1 Hesitant Fuzzy Linguistic Term Set
2.2 Interval-Valued Hesitant Fuzzy Linguistic Term Set
2.3 Proportional Hesitant Fuzzy Linguistic Term Set
2.4 Hesitant Fuzzy Uncertain Linguistic Set
2.5 Dual Hesitant Fuzzy Linguistic Set
2.6 Dual Hesitant Fuzzy Triangular Linguistic Set
2.7 Interval-Valued Dual Hesitant Fuzzy Linguistic Set
References
3 Neutrosophic Hesitant Fuzzy Set
3.1 Neutrosophic Hesitant Fuzzy Set
3.2 Interval Neutrosophic Hesitant Fuzzy Set
References
4 Pythagorean Hesitant Fuzzy Set
4.1 Pythagorean Hesitant Fuzzy Set
4.2 Interval-Valued Pythagorean Hesitant Fuzzy Set
4.3 Dual Pythagorean Hesitant Fuzzy Set
References
5 q-Rung Orthopair Hesitant Fuzzy Set
5.1 q-Rung Orthopair Hesitant Fuzzy Set
5.2 Interval-Valued q-Rung Orthopair Hesitant Fuzzy Set
References
6 Probabilistic Hesitant Fuzzy Set
6.1 Probabilistic Hesitant Fuzzy Set
6.2 Probabilistic Dual Hesitant Fuzzy Set
6.3 Probabilistic Linguistic Hesitant Fuzzy Set
6.4 Probabilistic Linguistic Dual Hesitant Fuzzy Set
6.5 Interval Probability Hesitant Fuzzy Linguistic Variable
6.6 Probabilistic Neutrosophic Hesitant Fuzzy Set
6.7 Pythagorean Probabilistic Hesitant Fuzzy Set
6.8 q-Rung Orthopair Probabilistic Hesitant Fuzzy Set
References
7 Type 2 Hesitant Fuzzy Set
7.1 Type 2 Hesitant Fuzzy Set
7.2 Interval Type 2 Hesitant Fuzzy Set
References
8 Hesitant Bipolar Fuzzy Set
8.1 Hesitant Bipolar Fuzzy Set
8.2 Hesitant Bipolar-Valued Fuzzy Set
8.3 Hesitant Bipolar-Valued Neutrosophic Set
References
9 Cubic Hesitant Fuzzy Set
9.1 Cubic Hesitant Fuzzy Set
9.2 Triangular Cubic Hesitant Fuzzy Set
9.3 Linguistic Intuitionistic Cubic Hesitant Variable
References
10 Complex Hesitant Fuzzy Set
10.1 Complex Hesitant Fuzzy Set
10.2 Complex Dual Hesitant Fuzzy Set
10.3 Complex Dual Type 2 Hesitant Fuzzy Set
References
11 Picture Hesitant Fuzzy Set
11.1 Picture Hesitant Fuzzy Set
11.2 Interval-Valued Picture Hesitant Fuzzy Set
References
12 Spherical Hesitant Fuzzy Set
12.1 Spherical Hesitant Fuzzy Set
12.2 T-Spherical Hesitant Fuzzy Set
References
Index


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