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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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Published in:Journal of intelligent & fuzzy systems 2023-12, Vol.45 (6), p.11567-11583
Main Authors: Huang, Feidan, Deng, Zexi, Cao, Fasheng
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description 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.
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subjects Commutativity
Congruences
Finite state machines
Switching
title Generalized commutativity of intuitionistic fuzzy finite state machine
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