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Some Fuzzy Logic Operators for Picture Fuzzy Sets
2015 Seventh International Conference on Knowledge and Systems Engineering (KSE), 2015A generalization of the Zadeh's fuzzy sets and Antanassov's intuitionistic fuzzy - "Picture fuzzy set" have defined in 2013. This concept is particularly effective in decision making problems, such as voting, solutions choice, financial forecasting, estimating risks in business, etc. This promotes vigorously the construction of the picture fuzzy theory:
Bui Cong Cuong, Van Hai Pham
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Journal of Intelligent & Fuzzy Systems, 2018
. Hesitant fuzzy set, as an extension of fuzzy set, has absorbed many researchers from various scientific backgrounds to deal with uncertainty. Solving decision-making problems is one of the most important applications of hesitant fuzzy set.
Huchang Liao +3 more
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. Hesitant fuzzy set, as an extension of fuzzy set, has absorbed many researchers from various scientific backgrounds to deal with uncertainty. Solving decision-making problems is one of the most important applications of hesitant fuzzy set.
Huchang Liao +3 more
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Concave type-2 fuzzy sets: properties and operations
Soft Computing, 2009zbMATH Open Web Interface contents unavailable due to conflicting licenses.
H. Tahayori +4 more
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Fuzzy Sets and Their Operations
1992Fuzzy set theory is developed for solving problems in which descriptions of activities and observations are imprecise, vague, and uncertain. The term “fuzzy” refers to the situation in which there are no well-defined boundaries of the set of activities or observations to which the descriptions apply.
Shu-Jen Chen, Ching-Lai Hwang
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Set Operations for L-Fuzzy Sets
2007In this paper, we introduce the operations of union, intersection, and complement for preorder-based fuzzy sets. The given operations are even capable of dealing with fuzzy sets that have membership degrees coming from different preordered sets. This enables us to handle the difficult situation in which one has different people giving judgements and ...
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Interval fuzzy set and its operation
Proceedings of 2011 IEEE International Conference on Grey Systems and Intelligent Services, 2011The concept of interval fuzzy sets is proposed in this paper, and its operation system is constructed. Moreover, the paper also designs the first and second standard forms of interval fuzzy sets. Finally, the conversion rules between common and standard form are presented.
Shun-xiang Wu, Chang-hong Fu
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Symmetric difference operators on fuzzy sets
Fuzzy Sets and Systems, 2017zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhiqiang Shen, Dexue Zhang
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Algebraic Operations on Fuzzy Valued Fuzzy Sets
2013In this chapter, new analytical formulae for membership functions of extended t-norms are derived. We consider the following cases: extended minimum, minimum-based extensions of continuous t-norms, extended continuous t-norms based on drastic-product, and extended Łukasiewicz t-norm based on continuous Archimedean t-norms. As a dual concept to extended
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Operations on fuzzy sets—an axiomatic approach
Information Sciences, 1982Abstract We introduce intersection and union of fuzzy sets, constructed by means of operations on the unit interval which may depend on the considered element of the universe of discourse. A similar approach for complementation was given by Lowen [7]. The main result is that element-dependent operations are not compatible with the preservation of the
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Difference operators on fuzzy sets
International Journal of Approximate ReasoningzbMATH Open Web Interface contents unavailable due to conflicting licenses.
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