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Bipolar Complex Fuzzy Soft Sets and Their Application
International Journal of Fuzzy System Applications, 2021We introduce a new computational model to solve efficient problems. This research generalizes the concept of bipolar fuzzy soft sets (BFSS) to the realm of complex numbers. However, the ranges of positive and negative values membership BFSS functions are extended to unit disk instead of [0, 1] and [-1, 0] respectively.
Sahar Alqaraleh +4 more
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Bipolar-Valued Rough Fuzzy Set and Its Applications to the Decision Information System
IEEE Transactions on Fuzzy Systems, 2015 In this paper, first, relationship between bipolar- valued fuzzy set and fuzzy set with its extensions is discussed. Second, a new order relation about bipolar-valued fuzzy sets is introduced. Contrary to the existing YinYang order relation about bipolar-
Sheng Chen, Peng Shi
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Transformation of Bipolar Fuzzy Rough Set Models
Knowledge-Based Systems, 2012In 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, Zhi-Lian Guo
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Bipolar Fuzzy Sets and Bipolar Fuzzy Graphs
2020In this chapter, we first review the notion of bipolar fuzzy sets and present several basic concepts concerning bipolar fuzzy graphs and bipolar fuzzy digraphs. We discuss different methods of construction of bipolar fuzzy graphs and their isomorphism properties.
Muhammad Akram +2 more
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On bipolar complex fuzzy sets and its application
Journal of Intelligent & Fuzzy Systems, 2020Many factors with the perspective of bipolarity in the traditional Chinese food system “Yin and Yang food system” manipulate with types of food simultaneously to have a balanced body. This research studies the multiple attributes decision making (MADM) problem that measuring the “bipolarity of periodic” variation in bipolar ...
Abd Ulzeez M. J. Alkouri +2 more
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Bi-cooperative games in bipolar fuzzy settings
International Journal of General Systems, 2017AbstractIn 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, 2016zbMATH 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, 2021Zadeh’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
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Lattices of fuzzy sets and bipolar fuzzy sets, and mathematical morphology
Information Sciences, 2011zbMATH 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 SciencesIn 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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