GRADATION OF CONTINUITY IN FUZZY TOPOLOGICAL SPACES

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THAKUR R.; MONDAL K.K.; SAMANTA S.K.

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Journal: Iranian Journal of Fuzzy Systems Year:2011 | Volume:8 | Issue:2 Page(s): 143-159

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Information Journal Paper

Title

GRADATION OF CONTINUITY IN FUZZY TOPOLOGICAL SPACES

Author(s)

THAKUR R. | MONDAL K.K. | SAMANTA S.K. | Issue Writer Certificate

Keywords

FUZZY BELONGINGNESSQ2

FUZZY QUASI-COINCIDENCEQ2

GRADATION OF OPENNESSQ2

GRADATION OF NEIGHBORHOODNESSQ2

FUZZY TOPOLOGICAL SPACESQ2

FUZZY FILTERSQ2

GRADED CONTINUITYQ2

Abstract

In this paper we introduce a definition of gradation of continuity in graded FUZZY TOPOLOGICAL SPACES and study its various characteristic properties. The impact of the grade of continuity of mappings over the N-compactness grade is examined. Concept of gradation is also introduced in openness, closed- ness, homeomorphic properties of mappings and T2 separation axiom. E ect of the grades interrelated with N-compactness, closedness, T2 separation and homeomorphism of mappings are studied.

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APA: Copy

THAKUR, R., MONDAL, K.K., & SAMANTA, S.K.. (2011). GRADATION OF CONTINUITY IN FUZZY TOPOLOGICAL SPACES. IRANIAN JOURNAL OF FUZZY SYSTEMS, 8(2), 143-159. SID. https://sid.ir/paper/113389/en

Vancouver: Copy

THAKUR R., MONDAL K.K., SAMANTA S.K.. GRADATION OF CONTINUITY IN FUZZY TOPOLOGICAL SPACES. IRANIAN JOURNAL OF FUZZY SYSTEMS[Internet]. 2011;8(2):143-159. Available from: https://sid.ir/paper/113389/en

IEEE: Copy

R. THAKUR, K.K. MONDAL, and S.K. SAMANTA, “GRADATION OF CONTINUITY IN FUZZY TOPOLOGICAL SPACES,” IRANIAN JOURNAL OF FUZZY SYSTEMS, vol. 8, no. 2, pp. 143–159, 2011, [Online]. Available: https://sid.ir/paper/113389/en

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