m-Polar Fuzzy Sets: An Extension of Bipolar Fuzzy Sets [PDF]
The Scientific World Journal, 2014 Recently, bipolar fuzzy sets have been studied and applied a bit enthusiastically and a bit increasingly. In this paper we prove that bipolar fuzzy sets and 0,12-sets (which have been deeply studied) are actually cryptomorphic mathematical notions. Since
Juanjuan Chen +3 more
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Application of Bipolar Fuzzy Sets in Graph Structures [PDF]
Applied Computational Intelligence and Soft Computing, 2016 A graph structure is a useful tool in solving the combinatorial problems in different areas of computer science and computational intelligence systems. In this paper, we apply the concept of bipolar fuzzy sets to graph structures.
Muhammad Akram, Rabia Akmal
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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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Comparison of Interval-valued fuzzy sets, Intuitionistic fuzzy sets, and bipolar-valued fuzzy sets [PDF]
Journal of Korean Institute of Intelligent Systems, 2004 There are several kinds of fuzzy set extensions in the fuzzy set theory. Among them, this paper is concerned with interval-valued fuzzy sets, intuitionistic fuzzy sets, and bipolar-valued fuzzy sets. In interval-valued fuzzy sets, membership degrees are represented by an interval value that reflects the uncertainty in assigning membership degrees.
Keon Myung Lee
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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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Waste minimization strategies for environmental sustainability analysis of MABAC based on schweizer-sklar prioritized approach for circular bipolar fuzzy systems [PDF]
Scientific ReportsCircular bipolar complex fuzzy sets are more efficient to cope with awkward and vague data, because it is a modified technique of various existing tools, for instance, fuzzy sets and their extensions, bipolar fuzzy sets and their extensions, and circular
Khumara Ashraf +5 more
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Foldness of Bipolar Fuzzy Sets and Its Application in BCK/BCI-Algebras
Mathematics, 2019 Recent trends in modern information processing have focused on polarizing information, and and bipolar fuzzy sets can be useful. Bipolar fuzzy sets are one of the important tools that can be used to distinguish between positive information and negative ...
Young Bae Jun, Seok-Zun Song
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Bipolar Fuzzy Pseudo-UP Ideal Of Pseudo-UP Algebra [version 1; peer review: 2 approved, 1 approved with reservations] [PDF]
F1000ResearchIn this paper, we apply the concept of bipolar fuzzy sets to pseudo-UP ideals in pseudo-UP algebras. We prove that the intersection of two bipolar fuzzy pseudo-UP ideals is also a bipolar fuzzy pseudo-UP ideal, while the union of two such ideals does not
Berhanu Assaye Alaba +3 more
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Partitioned Maclaurin symmetric mean operators in bipolar complex fuzzy sets for multiattribute decision making [PDF]
Scientific ReportsMathematical tools are crucial for dealing with uncertainty because they provide a rigorous and logical framework for evaluating, measuring, and making decisions in the presence of ambiguous information.
Ubaid ur Rehman +3 more
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Complex & Intelligent SystemsThe complex bipolar fuzzy sets fundamentally expand upon bipolar fuzzy sets and complex fuzzy set, and demonstrate efficacy in dealing with two-dimensional uncertainty, specifically where amplitude and phase information are both relevant.
Naveed Yaqoob +4 more
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