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Transformation of bipolar fuzzy rough set models

Knowledge-Based Systems, 2012
In this paper, the notions of the union, the intersection, and the inverse of bipolar fuzzy approximation spaces are first introduced, respectively, and some related results are obtained. Then, the composition of bipolar fuzzy approximation spaces are proposed, and some properties are discussed.
Hai-Long Yang 0003   +3 more
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Bi-cooperative games in bipolar fuzzy settings

International Journal of General Systems, 2017
AbstractIn this paper, we introduce the notion of a bi-cooperative game with Bipolar Fuzzy Bi-coalitions and discuss the related properties. In many decision-making situations, players show bipolar motives while cooperating among themselves. This is modelled in both crisp and fuzzy environments.
Pankaj Hazarika   +2 more
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Application of Bipolar Fuzzy Sets in Planar Graphs

International Journal of Applied and Computational Mathematics, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Akram, Muhammad   +2 more
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Complex bipolar fuzzy sets: An application in a transport’s company

Journal of Intelligent & Fuzzy Systems, 2021
Zadeh’s fuzzy sets are very useful tool to handle imprecision and uncertainty, but they are unable to characterize the negative characteristics in a certain problem. This problem was solved by Zhang et al. as they introduced the concept of bipolar fuzzy sets.
Muhammad Gulistan   +3 more
openaire   +1 more source

Lattices of fuzzy sets and bipolar fuzzy sets, and mathematical morphology

Information Sciences, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Bipolar Fuzzy Sets Are Intuitionistic Fuzzy Sets

Proceedings of the Bulgarian Academy of Sciences
In 1983 the Intuitionistic Fuzzy Sets (IFSs) were introduced as an extension of Zadeh's fuzzy sets. Fifteen years later the Bipolar Fuzzy Sets (BFSs) were introduced as a new extension of fuzzy sets. In the article it is proved that each BFS can be transformed injectively or bijectively to an IFSs.
Krassimir Atanassov, Janusz Kacprzyk
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A bipolar-valued fuzzy set is an intersected interval-valued fuzzy set

Information Sciences
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hu, BQ, Yiu, KFC
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Analysis of $$\Gamma $$-semigroups based on bipolar complex fuzzy sets

Computational and Applied Mathematics, 2023
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Tahir Mahmood 0002   +2 more
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Interval Valued Bipolar Fuzzy Weighted Neutrosophic Sets and Their Application [PDF]

open access: yes2016 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE), 2016
Interval valued bipolar fuzzy weighted neutrosophic set(IVBFWN-set) is a new generalization of fuzzy set, bipolar fuzzy set, neutrosophic set and bipolar neutrosophic set so that it can handle uncertain information more flexibly in the process of decision making. Therefore, in this paper, we propose concept of IVBFWN-set and its operations.
Florentin Smarandache   +2 more
exaly   +3 more sources

Quotient bipolar fuzzy soft sets of hypervector spaces and bipolar fuzzy soft sets of quotient hypervector spaces

Journal of Algebraic Hyperstructures and Logical Algebras, 2023
In this paper, two related quotient structures are investigated utilizing the concept of coset. At first, a new hypervector space F/V = (F/V,\circ,\circledcirc,K) is created, which is composed of all cosets of a bipolar fuzzy soft set (F;A) over a hypervector space V . Then it will be shown that dim F/V = dim V/W, where the quotient hypervector space V/
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