THE JOIN OF FUZZY ALGEBRAIC SUBSTRUCTURES OF A GROUP AND THEIR LATTICES

Authors
AJMAL N THOMAS KV
Citation
N. Ajmal et Kv. Thomas, THE JOIN OF FUZZY ALGEBRAIC SUBSTRUCTURES OF A GROUP AND THEIR LATTICES, Fuzzy sets and systems, 99(2), 1998, pp. 213-224
Citations number
24
Categorie Soggetti
Statistic & Probability",Mathematics,"Computer Science Theory & Methods","Statistic & Probability",Mathematics,"Computer Science Theory & Methods
Journal title
Fuzzy sets and systems → ACNP
ISSN journal
01650114
Volume
99
Issue
2
Year of publication
1998
Pages
213 - 224
Database
ISI
SICI code
0165-0114(1998)99:2<213:TJOFAS>2.0.ZU;2-A
Abstract
This is a continuation of work in previous papers [N. Ajmal and K.V. T homas, Fuzzy Sets and Systems 58 (1993) 217; Inform. Sci. 76 (1994) 1] . Here, we provide a common technique of constructing the join of fuzz y substructures. Consequently, it leads to the formation of various ty pes of lattices and sublattices of fuzzy substructures of a group incl uding those of normal and quasinormal fuzzy subgroups. A lattice theor etic relationship of these sublattices is established. Moreover, we pr esent simple and direct proofs for the fact that the lattice of fuzzy normal subgroups is modular. (C) 1998 Elsevier Science B.V. All rights reserved.