6533b7d0fe1ef96bd125ac75

RESEARCH PRODUCT

Generalized fuzzy topology versus non-commutative topology

Sergey A. Solovyov

subject

Weak topologyArtificial IntelligenceLogicTrivial topologyExtension topologyProduct topologyInitial topologyGeneral topologyParticular point topologyTopological spaceTopologyMathematics

description

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''.

yearjournalcountryeditionlanguage
2011-06-01Fuzzy Sets and Systems
https://doi.org/10.1016/j.fss.2011.03.005