| Title | SOME WEAKER FORMS OF SMOOTH FUZZY CONTINUOUS FUNCTIONS |
| Author/s | Chandran Kalaivani, Rajakumar Roopkumar |
| Citation | C. Kalaivani, R. Roopkumar, "SOME WEAKER FORMS OF SMOOTH FUZZY CONTINUOUS FUNCTIONS", Contributions, Sec. Nat. Math. Biotech. Sci., MASA, ISSN 1857-9027, Vol. 36, no.2, 2015, pp.153β164. |
| Abstract | In this paper we introduce various notions of continuous fuzzy proper functions by using the existing notions of fuzzy closure and fuzzy interior operators like π ππ-closure, π ππ-interior, etc., and present all possible relations among these types of continuities. Next, we introduce the concepts of Ξ±-quasi-coincidence, ππΌπ-pre-neighborhood, ππΌπ-pre-clo-sure and ππΌπ- pre-continuous function in smooth fuzzy topological spaces and investigate the equivalent conditions of ππΌπ- pre-continuity. |
| Keywords | fuzzy proper function; smooth fuzzy topology; smooth fuzzy continuity; fuzzy closure; fuzzy interior |
