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Morphological operations on fuzzy sets
Fifth International Conference on Image Processing and its Applications, 1995One can analyse the structure of a binary image by looking at patterns of a certain shape at different places on the image. This idea of describing the image by looking at similar patterns at various locations is quantified in mathematical morphology by the concept of a structuring element.
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Powerset operators of extensional fuzzy sets
2018Summary: Powerset structures of extensional fuzzy sets in sets with similarity relations are investigated. It is proved that extensional fuzzy sets have powerset structures which are powerset theories in the category of sets with similarity relations, and some of these powerset theories are defined also by algebraic theories (monads).
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Operation method in fuzzy set operation processor
[1991 Proceedings] IEEE International Conference on Computer Design: VLSI in Computers and Processors, 2002A VLSI for diverse fuzzy set operations (FSP: fuzzy set processor) uses a single instruction multiple data stream (SIMD) architecture that is composed of four basic operation units and a variable microprogram control circuit. Speed increases of 50 times over a RISC-type CPU are possible when executing fuzzy set operations using a 16 basic operation ...
A. Katsumata, H. Tokunaga, S. Yasunobu
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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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International Journal of Machine Learning and Cybernetics, 2021
Xiu-Quan Chen, Weihua Xu
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Xiu-Quan Chen, Weihua Xu
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Knowledge discovery and semantic learning in the framework of axiomatic fuzzy set theory
WIREs Data Mining Knowl. Discov., 2018Axiomatic fuzzy set (AFS) theory facilitates a way on how to transform data into fuzzy sets (membership functions) and implement their fuzzy logic operations, which provides a flexible and powerful tool for representing human knowledge and emulate human ...
Xiaodong Liu +5 more
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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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