Journal
IEEE TRANSACTIONS ON FUZZY SYSTEMS
Volume 29, Issue 6, Pages 1423-1430Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TFUZZ.2020.2977873
Keywords
Fuzzy sets; Indexes; Image processing; Distributive law; fuzzy truth value; grouping function; overlap function
Funding
- National Natural Science Foundation of China [11171242]
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This article explores Z-extended overlap functions and grouping functions on fuzzy truth values, examining their properties and conditions for satisfying distributive laws.
This article mainly investigates Z-extended overlap functions and grouping functions on fuzzy truth values. First, we introduce Z-extended overlap functions and grouping functions. Then, we present some properties of the Z-extended overlap functions and grouping functions, and use these properties to show the representations of the Z-extended overlap functions and grouping functions. Finally, we give the conditions under which the distributive laws between the Z-extended overlap functions and grouping functions are true.
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