Modified TL-subgroups of a group

✍ Scribed by Suryansu Ray

• Publisher: Elsevier Science
• Year: 1997
• Tongue: English
• Weight: 861 KB
• Volume: 91
• Category: Article
• ISSN: 0165-0114
• DOI: 10.1016/s0165-0114(96)00154-6

✦ Synopsis

A modified version of a TL-group is proposed, which pushes up the grade of the identity element automatically at the highest level without requiring to peg it under compulsion at as high a point as 1. The study creates a viable level theory even when a general triangular norm on the complete lattice L is present there• It is successfully employed to prove the modularity of the class of all modified TL-subgroups of a given quasi-Hamiltonian group, which are shown to form a complete lattice for which the T-intersection turns out to be the meet operation. The theory opens up a vista of smooth generalization of the fuzzy group, filing off all angularities created by an early introduction of a triangular norm as a technical misfit•