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Generalized product of fuzzy subsets of a ring

✍ Scribed by K.C. Gupta; Manoj K. Kantroo

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
107 KB
Volume
117
Category
Article
ISSN
0165-0114

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✦ Synopsis

We deΓΏne T -intrinsic product of fuzzy subsets of an algebraic object more general than a ring and study some of its fundamental properties. Deep connection that exists between T -intrinsic product and fuzzy subsets of a ring is brought to the surface. The concepts of T -fuzzy subring, T -fuzzy ideal and T -fuzzy subgroup are redeΓΏned, to include quite larger classes within their fold. Interconnection between these classes and T -intrinsic product is studied in detail. In the end we isolate di erent subclasses of the subsemigroup F(R) and reveal their ideal structure.

πŸ“œ SIMILAR VOLUMES

Redefined sup-min product of fuzzy subse
Redefined sup-min product of fuzzy subsets and join of fuzzy subgroups
✍ Jae-Gyeom Kim πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 488 KB

We redefine the sup-min product of two fuzzy subsets, give an explicit formula for the join of two fuzzy subgroups of a group, and show that the lattice of all normal fuzzy subgroups of a group is a sublattice of the lattice of all fuzzy subgroups of the group. (~ 1997 Elsevier Science B.V.