Interval-valued complex fuzzy logic

Greenfield, Sarah; Chiclana, Francisco; Dick, Scott

doi:10.1109/fuzz-ieee.2016.7737939

Cited by 64 publications

(43 citation statements)

References 34 publications

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“…Since the introduction of CFS, attempts to improve and overcome the drawbacks that are inherent in the CFS model have led to the introduction of several complex fuzzy-based hybrid models. We refer the readers to [10,[12][13][14][15][16][17][18] for more details on these models.…”

Section: Intuitionistic Fuzzy Setsmentioning

confidence: 99%

The Algebraic Structures of Complex Intuitionistic Fuzzy Soft Sets Associated with Groups and Subgroups

Quek

Selvachandran

2018

Scientia Iranica

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Abstract. In recent years, the theory of complex fuzzy sets has captured the attention of many researchers, and research in this area has intensi ed over the past ve years. This paper focuses on developing the algebraic structures pertaining to groups and subgroups for the complex intuitionistic fuzzy soft set model. Besides examining some of the properties of these structures, the relationship between these structures and corresponding structures in fuzzy group theory is also examined.

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Section: Intuitionistic Fuzzy Setsmentioning

confidence: 99%

The Algebraic Structures of Complex Intuitionistic Fuzzy Soft Sets Associated with Groups and Subgroups

Quek

Selvachandran

2018

Scientia Iranica

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“…Ramot, Friedman, Langholz, and Kandel () generalized traditional fuzzy logic to complex fuzzy logic in which the sets used in reasoning process are CFSs, characterized by complex valued membership functions. Later on, Greenfield, Chiclana, and Dick () extended the concept of CFS by taking the grade of the membership function as an interval‐number rather than single numbers. Yazdanbakhsh and Dick () conducted a systematic review of CFSs and logic and discussed its applications.…”

Section: Introductionmentioning

confidence: 99%

Complex intuitionistic fuzzy power aggregation operators and their applications in multicriteria decision‐making

2018

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The objective of this manuscript is to present some aggregation operators for aggregating the different complex intuitionistic fuzzy (CIF) sets by considering the dependency between the pairs of its membership degrees. In the existing studies of fuzzy and its extensions, the uncertainties present in the data are handled with the help of degrees of membership that are the subset of real numbers, which may lose some useful information and hence consequently affect the decision results. A modification to these, complex intuitionistic fuzzy set handles the uncertainties with the degrees whose ranges are extended from real subset to the complex subset with unit disc and hence handle the two‐dimensional information in a single set. Thus, motivated by this, we developed some new power aggregation operators, namely, CIF power averaging, CIF weighted power averaging, CIF ordered weighted power averaging, CIF power geometric, CIF weighted power geometric, and CIF ordered weighted power geometric. Also, some of the desirable properties of these are investigated. Further, based on these operators, a multicriteria decision‐making approach is presented under the CIF set environment. An illustrative example related to the selection of the best alternative(s) is considered to demonstrate the efficiency of the proposed approach and is validated it by comparing their results with the several existing approaches results.

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“…Recently, several scholars have developed extensions of CFSs. Greenfield et.al [15,16] introduced interval-valued complex fuzzy sets. Alkouri and Saleh [17] proposed complex intuitionistic fuzzy sets.…”

Section: Introductionmentioning

confidence: 99%

Complex Fuzzy Geometric Aggregation Operators

Dai

2018

Symmetry

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A complex fuzzy set is an extension of the traditional fuzzy set, where traditional [0,1]-valued membership grade is extended to the complex unit disk. The aggregation operator plays an important role in many fields, and this paper presents several complex fuzzy geometric aggregation operators. We show that these operators possess the properties of rotational invariance and reflectional invariance. These operators are also closed on the upper-right quadrant of the complex unit disk. Based on the relationship between Pythagorean membership grades and complex numbers, these operators can be applied to the Pythagorean fuzzy environment.

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Interval-valued complex fuzzy logic

Cited by 64 publications

References 34 publications

The Algebraic Structures of Complex Intuitionistic Fuzzy Soft Sets Associated with Groups and Subgroups

The Algebraic Structures of Complex Intuitionistic Fuzzy Soft Sets Associated with Groups and Subgroups

Complex intuitionistic fuzzy power aggregation operators and their applications in multicriteria decision‐making

Complex Fuzzy Geometric Aggregation Operators

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