Abstract
The aim of the present paper is to introduce two classes of open mappings using intuitionistic fuzzy supra open sets and semi-supra open sets in intuitionistic fuzzy supra topological spaces. It is nothing but, the image of intuitionistic fuzzy supra open set (resp. supra open) is intuitionistic fuzzy semi-supra closed set (resp. supra closed) in co-domain space. Moreover , a few of their significant properties have been studied. A necessary and sufficient condition for intuitionistic fuzzy supra contra semi-open mapping has been derived in terms of semi-supra closure and semi-supra interior. Also, the class of intuitionistic fuzzy supra contra open mappings is properly contained in that of intuitionistic fuzzy supra contra semi-open mappings has been investigated. Suitable examples have been given to establish that the reversible implications are lacking in general. A notion of intuitionistic fuzzy supra contra semi-homeomorphism has been defined and characterized.
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