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- W1977463583 abstract "Abstract We point out that the product of two fuzzy closed sets of smooth fuzzy topological spaces need not be fuzzy closed with respect to the the existing notion of product smooth fuzzy topology. To get this property, we introduce a new suitable product smooth fuzzy topology. We investigate whether F 1 × F 2 and ( F , H ) are weakly smooth fuzzy continuity whenever F 1 , F 2 , F and H are weakly smooth fuzzy continuous. Using this new product smooth fuzzy topology, we define smooth fuzzy perfect mapping and prove that composition of two smooth fuzzy perfect mappings is smooth fuzzy perfect under some additional conditions. We also introduce two new notions of compactness called Q -compactness and Q - α -compactness; and discuss the compactness of the image of a Q -compact set ( Q - α -compact set) under a weakly smooth fuzzy continuous function ( ( α , β ) -weakly smooth fuzzy continuous function)." @default.
- W1977463583 created "2016-06-24" @default.
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- W1977463583 date "2014-03-01" @default.
- W1977463583 modified "2023-09-27" @default.
- W1977463583 title "Fuzzy Perfect Mappings and<i>Q</i>-Compactness in Smooth Fuzzy Topological Spaces" @default.
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- W1977463583 doi "https://doi.org/10.1016/j.fiae.2014.06.009" @default.
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