Generalized commutativity of intuitionistic fuzzy finite state machine

Concepts of generalized commutative intuitionistic fuzzy finite state machines and generalized switching intuitionistic fuzzy finite state machines are proposed in this paper, and properties of these two kinds of intuitionistic fuzzy finite state machines are investigated. By using the conditions as...

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Bibliographic Details
Published in:Journal of intelligent & fuzzy systems 2023-12, Vol.45 (6), p.11567-11583
Main Authors: Huang, Feidan, Deng, Zexi, Cao, Fasheng
Format: Article
Language:English
Subjects:
Commutativity
Congruences
Finite state machines
Switching
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Summary:Concepts of generalized commutative intuitionistic fuzzy finite state machines and generalized switching intuitionistic fuzzy finite state machines are proposed in this paper, and properties of these two kinds of intuitionistic fuzzy finite state machines are investigated. By using the conditions associated with generalized commutativity, a kind of congruences of intuitionistic fuzzy finite state machines is defined. Homomorphic properties of generalized commutative intuitionistic fuzzy finite state machine are also discussed. Moreover, products of generalized commutative intuitionistic fuzzy finite state machines and products of generalized switching intuitionistic fuzzy finite state machines are studied, and some related properties are proved.
ISSN:1064-1246
1875-8967
DOI:10.3233/JIFS-231549