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International Journal of Contemporary Research in Multidisciplinary

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International Journal of Contemporary Research In Multidisciplinary, 2022;1(1):28-34

Some Generalised Forms of Fuzzy Open Sets

Author Name: Mudassir Ahmad 1;   Mushtaq Ahmad Kumar 2;  

1. Department of Mathematical Science & Computer Applications, Bundelkhand University, Jhansi, Uttar Pradesh, India

2. PG Department of Mathematics, Government Degree College Baramulla, Kashmir, India

Abstract

In this manuscript, we have studied and introduced some generalized forms of fuzzy open sets and establish their relationships or implications on one another. Most of the earlier studies of open sets has been discussed in general topological spaces and fuzzy open sets in fuzzy topological spaces. Further most of the results which we have discussed are verified also by making use of some counter examples.

Keywords

Generalised: fuzzy open sets, fuzzy semi-open sets, fuzzy pre-open sets, fuzzy α-open sets, fuzzy β-open sets