Fuzzy ideals and fuzzy bi-ideals in fuzzy semigroups

✍ Scribed by K.A. Dib; N. Galhum

• Publisher: Elsevier Science
• Year: 1997
• Tongue: English
• Weight: 464 KB
• Volume: 92
• Category: Article
• ISSN: 0165-0114
• DOI: 10.1016/s0165-0114(96)00170-4

✦ Synopsis

The purpose of this paper is to introduce some basic concepts of fuzzy algebra such as fuzzy (left, right) ideal and fuzzy bi-ideal in fuzzy semigroup, through the new approach of fuzzy space and fuzzy group introduced by Dib (1994). Our notion of fuzzy ideal and fuzzy bi-ideal includes the (classical) concepts of fuzzy ideal and fuzzy bi-ideal of ordinary semigroup. Many counterexamples are also given.