Fuzzy ideal theory. Fuzzy local function and generated fuzzy topology. (English) Zbl 0929.54004
From the author’s abstract: “In this paper we introduce the notion of fuzzy ideal in fuzzy set theory. The concept of fuzzy local function is also introduced here by utilizing the \(q\)-neighborhood structure for a fuzzy topological space [C. L. Chang, J. Math. Anal. Appl. 24, 182-190 (1968; Zbl 0167.51001)]. These concepts are discussed with a view to find new fuzzy topologies from the original one. The basic structure, especially a basis for such generated fuzzy topologies and several relations between different fuzzy ideals and fuzzy topologies are also studied here. Finally, the notion of compatibility of fuzzy ideals with fuzzy topologies is introduced and some equivalent conditions concerning this are established here”.
Reviewer: T.M.G.Ahsanullah (Bangladesh)
MSC:
| 54A40 | Fuzzy topology |
References:
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