GRADATION OF CONTINUITY IN FUZZY TOPOLOGICAL SPACES

نویسندگان
Thakur, Ramkrishna ID 1
Mondal, K. K. ID 2
Samanta, S. K. ID 3

1 Department of Mathematics, Visva-Bharati, Santiniketan-731235, West Bengal, India

2 Department of Mathematics, Kurseong College, Kurseong-734203, West Bengal, India

3 Department of Mathematics, Visva-Bharati, Santiniketan-731235, West Bengal, India

doi
10.22111/ijfs.2011.282
چکیده

In this paper we introduce a defi nition of gradation of continuity ingraded fuzzy topological spaces and study its various characteristic properties.The impact of the grade of continuity of mappings over the N-compactnessgrade is examined. Concept of gradation is also introduced in openness, closed-ness, homeomorphic properties of mappings and T2 separation axiom. E ffectof the grades interrelated with N-compactness, closedness, T2 separation andhomeomorphism of mappings are studied.

کلیدواژه‌ها
Fuzzy belongingness, Fuzzy quasi-coincidence, Gradation of openness, Gradation of neighborhoodness, Fuzzy topological spaces, Fuzzy filters, Graded continuity