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

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Kangujam Priyokumar Singh 1 Bhimraj Basumatary 1,*

1. Department of Mathematical Sciences, Bodoland University, Kokrajhar, BTC, Assam,783370, India

* Corresponding author.

DOI: https://doi.org/10.5815/ijmsc.2016.03.05

Received: 30 Mar. 2016 / Revised: 4 May 2016 / Accepted: 1 Jun. 2016 / Published: 8 Jul. 2016

Index Terms

Fuzzy Point, Fuzzy Quasi-Coincident, Fuzzy Topology


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.

Cite This Paper

Kangujam Priyokumar Singh, Bhimraj Basumatary,"A Note on Quasi-coincidence for Fuzzy Points of Fuzzy Topology on the Basis of Reference Function", International Journal of Mathematical Sciences and Computing(IJMSC), Vol.2, No.3, pp.49-57, 2016.DOI: 10.5815/ijmsc.2016.03.05


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