Open AccessFuzzy(r,s)-irresolute maps
Author(s) -
Seok Jong Lee,
JinTae Kim
Publication year - 2007
Publication title -
international journal of fuzzy logic and intelligent systems
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.296
H-Index - 9
eISSN - 2093-744X
pISSN - 1598-2645
DOI - 10.5391/ijfis.2007.7.1.049
Subject(s) - mathematics , fuzzy logic , topological space , fuzzy subalgebra , fuzzy set operations , generalization , fuzzy classification , degree (music) , pure mathematics , discrete mathematics , topology (electrical circuits) , algebra over a field , fuzzy set , computer science , artificial intelligence , combinatorics , mathematical analysis , physics , acoustics
Using the idea of degree of openness and degree of nonopenness, Coker and Demirci [5] defined intuitionistic fuzzy topological spaces in Sostak’s sense as a generalization of smooth topological spaces and intuitionistic fuzzy topological spaces. M. N. Mukherjee and S. P. Sinha [10] introduced the concept of fuzzy irresolute maps on Chang’s fuzzy topological spaces. In this paper, we introduce the concepts of fuzzy (r, s)-irresolute, fuzzy (r, s)-presemiopen, fuzzy almost (r, s)-open, and fuzzy weakly (r, s)-continuous maps on intuitionistic fuzzy topological spaces in Sostak’s sense. Using the notions of fuzzy (r, s)-neighborhoods and fuzzy (r, s)-semineighborhoods of a given intuitionistic fuzzy points, characterizations of fuzzy (r, s)-irresolute maps are displayed. The relations among fuzzy (r, s)-irresolute maps, fuzzy (r, s)-continuous maps, fuzzy almost (r, s)-continuous maps, and fuzzy weakly (r, s)-cotinuous maps are discussed.
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