The Lattice of Interval Valued -fuzzy Filters in a Given MTL-algebra

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Abstract

In the present paper, the interval valued (Formula Presented)-fuzzy filter theory in MTL-algebras is further studied. Some new properties of interval valued (Formula Presented)-fuzzy filters are given. It is proved that the set consisting of all interval valued (Formula Presented)-fuzzy filters in a given MTL-algebra, under the partial order (Formula Presented), forms a complete distributive lattice.

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Liu, C. (2020). The Lattice of Interval Valued -fuzzy Filters in a Given MTL-algebra. In Advances in Intelligent Systems and Computing (Vol. 1074, pp. 695–703). Springer. https://doi.org/10.1007/978-3-030-32456-8_76

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