This work introduces the concepts of fuzzy upper and lower theta star (respectively theta)- semicontinuous multifunction on fuzzy topological spaces in the Sostak sense. In L-fuzzy topological spaces, the mutual relationships of these fuzzy upper (resp. fuzzy lower) theta star (resp. theta)-semicontinuous multifunctions are established, as well as several characterizations and properties. Later, researchers looked at the composition and union of these multifunctions.
Mughil, A.; Vadivel, A.; and Maheswari, O. Uma
(R1961) On Fuzzy Upper and Lower Theta Star Semicontinuous Multifunctions,
Applications and Applied Mathematics: An International Journal (AAM), Vol. 17,
1, Article 17.
Available at: https://digitalcommons.pvamu.edu/aam/vol17/iss1/17