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View all- (2019)Stratified categorical fixed-basis fuzzy topological spaces and their dualityFuzzy Sets and Systems10.1016/j.fss.2014.08.005267:C(1-17)Online publication date: 2-Jan-2019
Generalized fuzzy topology versus non-commutative topology
Abstract
The paper introduces a modification of the notions of generalized fuzzy topological space of Demirci and quantal space of Mulvey and Pelletier, suitable to explore interrelations between point-set lattice-theoretic topology and non-commutative topology developed in the framework of C^*-algebras or (more recently) of quantales. As a consequence of the new approach, a generalization of the concept of topological system of Vickers arises. Moreover, the currently dominating variable-basis topological setting in the fuzzy community, due to Rodabaugh, appears to be ''fixed-basis''.
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- Generalized fuzzy topology versus non-commutative topology
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