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The join of fuzzy algebraic substructures of a group and their lattices

โœ Scribed by Naseem Ajmal; K.V. Thomas

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
812 KB
Volume
99
Category
Article
ISSN
0165-0114

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โœฆ Synopsis

This is a continuation of work in previous papers [N. Ajmal and K.V. Thomas, Fuzzy Sets and Systems 58 (1993) 217; Inform. Sci. 76 (1994) 1]. Here, we provide a common technique of constructing the join of fuzzy substructures. Consequently, it leads to the formation of various types of lattices and sublattices of fuzzy substructures of a group including those of normal and quasinormal fuzzy subgroups. A lattice theoretic relationship of these sublattices is established. Moreover, we present simple and direct proofs for the fact that the lattice of fuzzy normal subgroups is modular.

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