Rough Interval Valued Intuitionistic Fuzzy Ideals in Γ - Semigroups

This paper aims to extend the Interval-valued Intuitionistic Hesitant Fuzzy Set to a Generalized Interval-valued Hesitant Intuitionistic Fuzzy Soft Set (GIVHIFSS). Definition of a GIVHIFSS and some of their operations are defined, and some of their properties are studied. In these GIVHIFSSs, the authors have defined complement, null, and absolute. Soft binary operations like operations union, intersection, a subset are also defined. Here is also verified De Morgan’s laws and the algebraic structure of GIVHIFSSs. Finally, by using the comparison table, a different approach to GIVHIFSS based decision-making is presented.

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An approach to construct entropies on interval-valued intuitionistic fuzzy sets by their distance functions

Soft Computing ◽

10.1007/s00500-021-05713-5 ◽

2021 ◽

Vol 25 (10) ◽

pp. 6879-6889

Author(s):

Renqing Che ◽

Chunfeng Suo ◽

Yongming Li

Keyword(s):

Fuzzy Sets ◽

Intuitionistic Fuzzy Sets ◽

Distance Functions ◽

Intuitionistic Fuzzy ◽

Interval Valued

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Optimization-based group decision making using interval-valued intuitionistic fuzzy preference relations

Information Sciences ◽

10.1016/j.ins.2020.12.047 ◽

2020 ◽

Author(s):

Zhiming Zhang ◽

Shyi-Ming Chen

Keyword(s):

Decision Making ◽

Group Decision Making ◽

Group Decision ◽

Preference Relations ◽

Intuitionistic Fuzzy ◽

Fuzzy Preference Relations ◽

Interval Valued ◽

Fuzzy Preference

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Interval-valued intuitionistic fuzzy multiple attribute decision making and their applications

International Journal of Knowledge-based and Intelligent Engineering Systems ◽

10.3233/kes-210069 ◽

2021 ◽

Vol 25 (2) ◽

pp. 251-277

Author(s):

Hong-Jun Wang

Keyword(s):

Supplier Selection ◽

Fuzzy Numbers ◽

Multiple Attribute Decision Making ◽

Green Supply Chain Management ◽

Green Supply Chain ◽

Intuitionistic Fuzzy Numbers ◽

Intuitionistic Fuzzy ◽

Operator Interval ◽

Multiple Attribute ◽

Interval Valued

In this paper, we expand the Muirhead mean (MM) operator and dual Muirhead mean (DMM) operator with interval-valued intuitionistic fuzzy numbers (IVIFNs) to propose the interval -valued intuitionistic fuzzy Muirhead mean (IVIFMM) operator, interval-valued intuitionistic fuzzy weighted Muirhead mean (IVIFWMM) operator, interval-valued intuitionistic fuzzy dual Muirhead mean (IVIFDMM) operator and interval-valued intuitionistic fuzzy weighted dual Muirhead mean (IVIFWDMM) operator. Then the MADM methods are proposed with these operators. In the end, we utilize an applicable example for green supplier selection in green supply chain management to prove the proposed methods.

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Width-based distance measures on interval-valued intuitionistic fuzzy sets

Journal of Intelligent & Fuzzy Systems ◽

10.3233/jifs-200889 ◽

2021 ◽

pp. 1-13

Author(s):

Xi Li ◽

Chunfeng Suo ◽

Yongming Li

Keyword(s):

Pattern Recognition ◽

Fuzzy Sets ◽

Medical Diagnosis ◽

Intuitionistic Fuzzy Sets ◽

Distance Measures ◽

Intuitionistic Fuzzy ◽

Interval Valued ◽

Dissimilarity Function ◽

Better Than

An essential topic of interval-valued intuitionistic fuzzy sets(IVIFSs) is distance measures. In this paper, we introduce a new kind of distance measures on IVIFSs. The novelty of our method lies in that we consider the width of intervals so that the uncertainty of outputs is strongly associated with the uncertainty of inputs. In addition, better than the distance measures given by predecessors, we define a new quaternary function on IVIFSs to construct the above-mentioned distance measures, which called interval-valued intuitionistic fuzzy dissimilarity function. Two specific methods for building the quaternary functions are proposed. Moreover, we also analyzed the degradation of the distance measures in this paper, and show that our measures can perfectly cover the measures on a simpler set. Finally, we provide illustrative examples in pattern recognition and medical diagnosis problems to confirm the effectiveness and advantages of the proposed distance measures.

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