A Note on Quasi-coincidence for Fuzzy Points of Fuzzy Topology on the Basis of Reference Function | Zendy

Kangujam Priyokumar Singh | Zendy; Bhimraj Basumatary | Zendy

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A Note on Quasi-coincidence for Fuzzy Points of Fuzzy Topology on the Basis of Reference Function

Author(s) -

Kangujam Priyokumar Singh,

Bhimraj Basumatary

Publication year - 2016

Publication title -

international journal of mathematical sciences and computing

Language(s) - English

Resource type - Journals

eISSN - 2310-9033

pISSN - 2310-9025

DOI - 10.5815/ijmsc.2016.03.05

Subject(s) - fuzzy logic , complement (music) , defuzzification , fuzzy mathematics , fuzzy set , computer science , fuzzy set operations , basis (linear algebra) , type 2 fuzzy sets and systems , fuzzy number , mathematics , point (geometry) , fuzzy classification , topology (electrical circuits) , artificial intelligence , complementation , geometry , combinatorics , biochemistry , chemistry , gene , phenotype

In this article our main aim is to revisit the definition of fuzzy point and fuzzy quasi-coincident of fuzzy topology which is accepted in the literature of fuzzy set theory. We analyse some results and also prove some proposition with extended definition of complementation of fuzzy sets on the basis of reference function and some new definitions have also been introduced whenever possible. In this work the main efforts have been made to show that the existing definition of complement of fuzzy point and definition of fuzzy quasi-coincident are not acceptable.

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