Fuzzy soft upper and lower semi-continuous multifunctions
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In this paper, we define the upper and lower inverse of a fuzzy soft multifunction and prove some basic identities. Then by using these ideas we introduce the concept of fuzzy soft continuity and obtain many interesting properties of fuzzy soft upper and lower semi-continuous multifunctions. Also, we define the notions of fuzzy soft lower $({\mathcal{A}}, {\mathcal{B}}, {\mathcal{C}}, {\mathcal{D}},{\mathcal{I}})$-continuity and fuzzy soft upper $({\mathcal{A}}, {\mathcal{B}}, {\mathcal{C}}, {\mathcal{D}},{\mathcal{I}})$-continuity. Moreover, we present different cases of upper and lower fuzzy soft continuous multifunctions.
Abstract
In this paper, we define the upper and lower inverse of a fuzzy soft multifunction and prove some basic identities. Then by using these ideas we introduce the concept of fuzzy soft continuity and obtain many interesting properties of fuzzy soft upper and lower semi-continuous multifunctions. Also, we define the notions of fuzzy soft lower $({\mathcal{A}}, {\mathcal{B}}, {\mathcal{C}}, {\mathcal{D}},{\mathcal{I}})$-continuity and fuzzy soft upper $({\mathcal{A}}, {\mathcal{B}}, {\mathcal{C}}, {\mathcal{D}},{\mathcal{I}})$-continuity. Moreover, we present different cases of upper and lower fuzzy soft continuous multifunctions.
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