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Fuzzy sets under various operations

, 1980
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Approximated Type-2 Fuzzy Set Operations

2006 IEEE International Conference on Fuzzy Systems, 2006
Type-2 fuzzy sets, an elaboration over type-1 fuzzy sets, are an interesting method for handling uncertainty in rules and parameters in fuzzy systems. However, their adoption has not been as wide as one could have expected. In this paper we provide a simple introduction to type-2 fuzzy sets; then we propose a novel method for calculating operations on ...
H. Tahayori, A. Tettamanzi, G. D. Antoni
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Set operations of fuzzy sets using gradual elements

Soft Computing, 2019
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Hsien-Chung Wu
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Comment on Pythagorean and Complex Fuzzy Set Operations

IEEE transactions on fuzzy systems, 2018
Dick et al. introduced a relation $\leq ^*$ on $\Pi -i$ numbers and proved that $(\Pi -i, \leq ^*)$ is a bounded distributive complete lattice. In the present paper, we point out that the relation $\leq ^*$ is not a partial order and that $(\Pi -i ...
Lianzhen Liu, Xiangyang Zhang
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Fuzzy power sets and fuzzy implication operators

Fuzzy Sets and Systems, 1980
The theory of fuzzy power sets, which has hitherto been insufficiently developed, is shown very naturally to require the use of a fuzzy implication operator (Section 1). Six such operators are gathered from the literature on multiple-valued logic (Section 2), and their effects on fuzzy power-set theory are compared throughout the rest of the paper ...
Bandler, Wyllis, Kohout, Ladislav
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Novel Aczel–Alsina operations-based hesitant fuzzy aggregation operators and their applications in cyclone disaster assessment

International Journal of General Systems, 2022
As a fuzzy set (FS) expansion, the hesitant fuzzy set (HFS) is successfully employed to demonstrate circumstances where it is admissible to ascertain a few potential membership degrees (MDs) of a component in a set because of the uncertainty between ...
Tapan Senapati, Guiyun Chen, R. Mesiar, R. Yager, A. Saha   +4 more
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Compatibility between fuzzy set operations and level set operations: Applications to fuzzy difference

Fuzzy Sets and Systems, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Linear Diophantine fuzzy set and its applications towards multi-attribute decision-making problems

Journal of Intelligent & Fuzzy Systems, 2019
The prevailing concepts of intuitionistic fuzzy sets (IFSs), Pythagorean fuzzy sets (PFSs) and q-rung orthopair fuzzy sets (q-ROFSs) have numerous applications in various fields from real life.
M. Riaz, M. Hashmi
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Operations on Fuzzy sets

1987
Fuzzy sets are introduced as a generalization of ordinary sets. In this chapter we are going to define an algebraic structure of the class of fuzzy sets which will be useful in the combination of vague data. If an expert is sure, for example, that the ”true” value of the price of a house is in [200,000; 300,000] and another expert has information that ...
Rudolf Kruse, Klaus Dieter Meyer
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Groups operating on fuzzy sets

Fuzzy Sets and Systems, 2001
A fuzzy set \(X\) is defined in terms of a membership function \(\mu\colon X\mapsto[0,1]\), \(X\) is identified with the support \(\text{supp }\mu\) in this paper. Let a fuzzy set \(G\) be a fuzzy group. If \(\mu_G(e_G)=1\), then \(G\) is called standardized.
Roventa, E., Spircu, T.
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