<abstract xmlns="http://www.w3.org/1999/xhtml"><p>The prime objective of this paper is to introduce and characterize a new type of function in a fuzzy topological spaces called ps-ro fuzzy strongly α-irresolute function. The interrelations of this function with the parallel existing allied concepts are established. The independence of ps-ro fuzzy strongly α-irresolute and well known concept of fuzzy strongly α-irresolute function motivate authors to explore it. Also, this function is found to be stronger than ps-ro fuzzy continuity, ps-ro fuzzy semicontinuity, ps-ro fuzzy precontinuity and ps-ro fuzzy α-continuity. Further, several characterizations of these functions along with different conditions for their existence are obtained.</p></abstract>

The prime objective of this paper is to introduce and characterize a new type of function in a fuzzy topological spaces called ps-ro fuzzy strongly α-irresolute function. The interrelations of this function with the parallel existing allied concepts are established. The independence of ps-ro fuzzy strongly α-irresolute and well known concept of fuzzy strongly α-irresolute function motivate authors to explore it. Also, this function is found to be stronger than ps-ro fuzzy continuity, ps-ro fuzzy semicontinuity, ps-ro fuzzy precontinuity and ps-ro fuzzy α-continuity. Further, several characterizations of these functions along with different conditions for their existence are obtained.

ps-ro fuzzy strongly α-irresolute function

Department of Mathematics, Sikkim Manipal Institute of Technology

Acta Universitatis Sapientiae, Mathematica

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

{"article-title":"ps-ro fuzzy strongly α-irresolute function"}

The prime objective of this paper is to introduce and characterize a new type of function in a fuzzy topological spaces called ps-ro fuzzy strongly...

ps-ro fuzzy strongly α-irresolute function

Published Online: Aug 05, 2017

Page range: 260 - 268

Received: Oct 21, 2016

DOI: https://doi.org/10.1515/ausm-2017-0018

Keywords
ps-ro fuzzy topology, ps-ro fuzzy continuity, ps-ro fuzzy semi-continuity, ps-ro fuzzy α-continuity, ps-ro fuzzy strongly α-irresoluteness

© 2017 Pankaj Chettri et al., published by De Gruyter Open

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

ps-ro fuzzy strongly α-irresolute function

Published Online: Aug 05, 2017

Page range: 260 - 268

Received: Oct 21, 2016

DOI: https://doi.org/10.1515/ausm-2017-0018

Keywordsps-ro fuzzy topology, ps-ro fuzzy continuity, ps-ro fuzzy semi-continuity, ps-ro fuzzy α-continuity, ps-ro fuzzy strongly α-irresoluteness

© 2017 Pankaj Chettri et al., published by De Gruyter Open

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Keywords
ps-ro fuzzy topology, ps-ro fuzzy continuity, ps-ro fuzzy semi-continuity, ps-ro fuzzy α-continuity, ps-ro fuzzy strongly α-irresoluteness