• Kyungpook Mathematical Journal
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• v.56 no.1
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• pp.301-310
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• 2016

In this paper, we introduce and study the concept of a new class of sets called paraopen sets and paraclosed sets in topological spaces. During this process some of their properties are obtained. Also we introduce and investigate a new class of maps called paracontinuous, *-paracontinuous, parairresolute, minimal paracontinuous and maximal paracontinuous maps and study their basic properties in topological spaces.

• Journal of Applied and Pure Mathematics
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• v.4 no.3_4
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• pp.141-150
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• 2022

The aim of this article is to introduce hesitant fuzzy paraopen and hesitant fuzzy mean open sets in hesitant fuzzy topological spaces. Moreover we investigate and extend some properties of hesitant fuzzy mean open with hesitant fuzzy paraopen, hesitant fuzzy minmimal open and maximal open sets in hesitant fuzzy topological spaces.

• Journal of applied mathematics & informatics
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• v.38 no.5_6
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• pp.463-468
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• 2020

The purpose of this article is to study the concepts of fuzzy mean open and fuzzy mean closed sets in fuzzy topological spaces. Further, in what way they are similar to those of other. Also we discuss some properties of fuzzy mean open and fuzzy mean closed with fuzzy paraopen and fuzzy paraclosed sets in fuzzy topology.

• Kyungpook Mathematical Journal
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• v.56 no.4
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• pp.1259-1265
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• 2016

In this paper, we introduce the notions of mean open and closed sets in topological spaces, and obtain some properties of such sets. We observe that proper paraopen and paraclosed sets are identical to mean open and closed sets respectively.