Results 1 to 10 of about 1,779 (116)

Bipolar Complex Fuzzy Soft Sets and Their Applications in Decision-Making

open access: yesMathematics, 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
doaj   +3 more sources

Bipolar Fuzzy Relations

open access: yesMathematics, 2019
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
doaj   +3 more sources

Bipolar Fuzzy UP-Algebras

open access: yesMathematical and Computational Applications, 2018
In this paper, we apply the notion of bipolar-valued fuzzy set to UP-algebras. We introduce the notions of bipolar fuzzy UP-subalgebras (resp., bipolar fuzzy UP-filters, bipolar fuzzy UP-ideals, and bipolar fuzzy strongly UP-ideals) of UP-algebras and ...
Korawut Kawila   +2 more
doaj   +3 more sources

Partitioned Maclaurin symmetric mean operators in bipolar complex fuzzy sets for multiattribute decision making [PDF]

open access: yesScientific Reports
Mathematical 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
doaj   +2 more sources

Mappings on Bipolar Hypersoft Classes [PDF]

open access: yesNeutrosophic Sets and Systems, 2023
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
doaj   +1 more source

Bipolar Intuitionistic Fuzzy Soft Ideals of BCK/BCI-Algebras and Its Applications in Decision-Making

open access: yesMathematics, 2023
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
doaj   +1 more source

Bipolar picture fuzzy sets and relations with applications [PDF]

open access: yesSongklanakarin Journal of Science and Technology (SJST), 2022
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
doaj   +1 more source

Bipolar Fuzzy Implicative Ideals of BCK-Algebras

open access: yesJournal of Mathematics, 2021
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
doaj   +1 more source

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]

open access: yesPeerJ Computer Science, 2023
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
doaj   +2 more sources

Bipolar fuzzy GE-algebras [PDF]

open access: yesJournal of Fuzzy Extension and Applications
This paper introduces the concept of a bipolar fuzzy GE-algebra within the framework of GE-algebras and explores its key properties. It offers a characterization of a bipolar fuzzy GE-algebra utilizing the negative ∈λ-set and the positive ∈α-set ...
Kyoung Ja Lee   +2 more
doaj   +1 more source

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