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2014 On $ps$-$ro$ semiopen fuzzy set and $ps$-$ro$ fuzzy semicontinuous, semiopen functions
Pankaj Chettri, Subodh Gurung, Sourasree Halder
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Tbilisi Math. J. 7(1): 87-97 (2014). DOI: 10.2478/tmj-2014-0009


The aim of this paper is to introduce and characterize $ps$-$ro$ semiopen (semiclosed) fuzzy sets, which are totally independent of the existing notion of fuzzy open (closed) sets and semiopen (semiclosed) fuzzy sets. Also, in term of these fuzzy sets and operators $ps$-$scl$ and $ps$-$sint$, a class of functions named as $ps$-$ro$ fuzzy semicontinuous and $ps$-$ro$ fuzzy semiopen (closed) functions are defined and their various properties are studied. $ps$-$ro$ fuzzy semicontinuity is indeed totally different from both the existing concepts of fuzzy continuity and fuzzy semicontinuity. Similarly, $ps$-$ro$ fuzzy open (closed) and well known concept of fuzzy semiopen (closed) functions do not imply each other. These concepts are used as new tools to study different characterizations of the given fuzzy topological space, giving a new dimension in the study of fuzzy topological spaces.


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Pankaj Chettri. Subodh Gurung. Sourasree Halder. "On $ps$-$ro$ semiopen fuzzy set and $ps$-$ro$ fuzzy semicontinuous, semiopen functions." Tbilisi Math. J. 7 (1) 87 - 97, 2014.


Received: 25 July 2014; Accepted: 12 October 2014; Published: 2014
First available in Project Euclid: 12 June 2018

zbMATH: 1323.54007
MathSciNet: MR3313048
Digital Object Identifier: 10.2478/tmj-2014-0009

Primary: 03E72
Secondary: 54A40 , 54C08

Keywords: $ps$-$ro$ fuzzy semicontinuous function , $ps$-$ro$ fuzzy semiopen (semiclosed) function , $ps$-$ro$ semiopen(semiclosed)fuzzy set , $ps$-semicluster point

Rights: Copyright © 2014 Tbilisi Centre for Mathematical Sciences


Vol.7 • No. 1 • 2014
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