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Axioms, 2023 Complex fuzzy sets (CFSs) are a suitable tool to manage spatial directional information which includes distance and direction. However, spatial directional information is given by linguistic values. It is very awkward for the CFS to describe this type of
Songsong Dai
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On Structural Properties of ξ-Complex Fuzzy Sets and Their Applications
Complexity, 2020 Complex fuzzy sets are the novel extension of Zadeh’s fuzzy sets. In this paper, we comprise the introduction to the concept of ξ-complex fuzzy sets and proofs of their various set theoretical properties. We define the notion of α,δ-cut sets of ξ-complex
Aneeza Imtiaz +4 more
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Bipolar Complex Fuzzy Soft Sets and Their Applications in Decision-Making
Mathematics, 2022 This article introduces the notion of bipolar complex fuzzy soft set as a generalization of bipolar complex fuzzy set and soft set. Furthermore, this article contains elementary operations for bipolar complex fuzzy soft sets such as complement, union ...
Tahir Mahmood +4 more
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Bipolar complex q-rung orthopair fuzzy aggregation operators for enhanced decision-making in uncertain environments [PDF]
Scientific ReportsEffective decision-making in uncertain and complex environments requires managing multidimensional, conflicting, and partially contradictory information.
Ibtesam Alshammari
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Two Classes of Entropy Measures for Complex Fuzzy Sets
Mathematics, 2019 Complex fuzzy sets are characterized by complex-valued membership functions, whose range is extended from the traditional fuzzy range of [0,1] to the unit circle in the complex plane.
Lvqing Bi +3 more
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Distance Measures between the Interval-Valued Complex Fuzzy Sets
Mathematics, 2019 Complex fuzzy set (CFS) is a recent development in the field of fuzzy set (FS) theory. The significance of CFS lies in the fact that CFS assigned membership grades from a unit circle in the complex plane, i.e., in the form of a complex number whose ...
Songsong Dai, Lvqing Bi, Bo Hu
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TOPSIS Method Based on Complex Spherical Fuzzy Sets with Bonferroni Mean Operators
Mathematics, 2020 The theory of complex spherical fuzzy sets (CSFSs) is a mixture of two theories, i.e., complex fuzzy sets (CFSs) and spherical fuzzy sets (SFSs), to cope with uncertain and unreliable information in realistic decision-making situations.
Zeeshan Ali +2 more
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International Journal of Intelligent Systems, 2021 The notions of the bipolar complex fuzzy set (BCFS) and complex bipolar fuzzy set (CBFS) have been already given, but these notions of BCFS and CBFS have the problem that they contradict the basic definition of the complex numbers which we discussed in ...
T. Mahmood, U. Rehman
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The new fuzzy analytical hierarchy process with interval type-2 trapezoidal fuzzy sets and its application [PDF]
, 2021 The degree of type-1 fuzzy sets membership function cannot express the linguistic variable of a complex problem. The type-2 fuzzy sets as a problem solver such that more fuzziness for constructing membership functions can be handled. Recently, many multi-
Dasrila, Yosza +2 more
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Homogeneity of Complex Fuzzy Operations
Axioms, 2022 The homogeneity of binary functions on the unit interval [0, 1] is a very useful property in many real practical applications. This paper studies the homogeneity of binary functions on the unit circle of the complex plane.
Bo Hu, Wei Wu, Songsong Dai
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