ISSN:1005-3026

ON NANO FUZZY FORMS OF WEAKLY FUZZY OPEN SETS

Purva Rajwade1, Rachna Navalakhe2

1Department of Applied Mathematics, Institute of Engineering & Technology, DAVV, Indore (M.P.)

Email: rajwadepurva@gmail.com

2Department of Applied Mathematics & Computational Science, Shri G.S. Institute of Technology & Science, Indore (M.P.)

Email: sgsits.rachna@gmail.com

 

Abstract The purpose of this paper is to define and study certain weak forms of Nano fuzzy open sets namely, Nano fuzzy -open sets, Nano fuzzy semi open sets and Nano fuzzy pre open sets. Various forms of Nano fuzzy a-open sets and Nano fuzzy a-semi open sets corresponding to different cases of approximations are also derived.

Keywords Nano fuzzy topology, Nano fuzzy open sets, Nano fuzzy interior, Nano fuzzy closure, Nano fuzzy -open sets, Nano fuzzy semi-open sets, Nano fuzzy pre-open sets.

2010 AMS Subject Classification: 54A40, 03E72.