Semigroup actions on intuitionistic fuzzy metric spaces

Authors:
Yaoyao Lan;Qingguo Li
Affiliations:
Department of Mathematics and Economics, Hunan University, Changsha, Hunan, China and Department of Mathematics and Statistics, Chongqing University of Arts and Sciences, Yongchuan, Chongqing, Chi ...;Department of Mathematics and Economics, Hunan University, Changsha, Hunan, China
Venue:
Advances in Fuzzy Systems
Year:
2009

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Abstract

This paper investigates the dynamical systems in the context of topological semigroup actions on intuitionistic fuzzy metric spaces. We give some concepts such as topological transitivity, point transitivity, and densely point transitivity for such dynamical systems. Particularly, we consider the implications of nonsensitivity and its relation to dynamical properties such as transitivity and equicontinuity.