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Bipolar Complex Fuzzy Soft Sets and Their Applications in Decision-Making
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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We introduce the concepts of a bipolar fuzzy reflexive, symmetric, and transitive relation. We study bipolar fuzzy analogues of many results concerning relationships between ordinary reflexive, symmetric, and transitive relations.
Jeong-Gon Lee, Kul Hur
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Domination of Bipolar Fuzzy Graphs in Various Settings [PDF]
AbstractBipolar fuzzy sets are used to describe the positive and negative of the uncertainty of objects, and the bipolar fuzzy graphs are used to characterize the structural relationship between uncertain concepts in which the vertices and edges are assigned positive and negative membership function values to feature the opposite uncertainty elevation.
Shu Gong, Gang Hua 0002, Wei Gao 0012
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Mappings on Bipolar Hypersoft Classes [PDF]
Mappings are significant mathematical tools with many applications in our daily lives. The bipolar hypersoft set is one of the effective tools for dealing with ambiguity and vagueness. The purpose of this article is to define mappings between the classes
Sagvan Y. Musa, Baravan A. Asaad
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Bipolar Intuitionistic Fuzzy Soft Ideals of BCK/BCI-Algebras and Its Applications in Decision-Making
In this paper, we merge the concepts of soft set theory and a bipolar intuitionistic fuzzy set. A bipolar intuitionistic fuzzy soft ideal in a BCK-algebra is defined as a soft set over the set of elements in the BCK-algebra, with each element associated ...
Manivannan Balamurugan +3 more
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Bipolar picture fuzzy sets and relations with applications [PDF]
The notions of both the bipolar fuzzy sets and picture fuzzy sets have been studied by many authors, the bipolar picture fuzzy set is the nice combination of these two notions. Basically, the concepts we present in our study are the direct extensions of
Waheed Ahmad Khan +2 more
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Bipolar Fuzzy Implicative Ideals of BCK-Algebras
The notion of bipolar fuzzy implicative ideals of a BCK-algebra is introduced, and several properties are investigated. The relation between a bipolar fuzzy ideal and a bipolar fuzzy implicative ideal is studied.
G. Muhiuddin, D. Al-Kadi
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Application of Bipolar Fuzzy Sets in Graph Structures [PDF]
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. We introduce certain notions, including bipolar fuzzy graph structure (BFGS), strong bipolar fuzzy graph structure, bipolar
Muhammad Akram, Rabia Akmal
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Evaluation of mental disorder with prioritization of its type by utilizing the bipolar complex fuzzy decision-making approach based on Schweizer-Sklar prioritized aggregation operators [PDF]
A clinically important loss in a person’s understanding, emotive power, or conduct is a symptom of a mental disorder. It generally occurs for genetic, psychological, and/or cognitive reasons and is accompanied by discomfort or limitationin significant ...
Tahir Mahmood +3 more
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H-Max Distance Measure of Bipolar Neutrosophic Sets and an Application to Medical Diagnosis [PDF]
A single-valued neutrosophic set is one of the advanced fuzzy sets that is capable of handling complex real-world information satisfactorily. A development of single-valued neutrosophic set and fuzzy bipolar set, called a bipolar neutrosophic set, was ...
Roan Thi Ngan +2 more
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