Characterizations of regular semigroups by (α,β)-fuzzy ideals

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• 作者：Muhammad Shabir ; Young Bae Jun ; Yasir Nawaz
• 关键词：( ; none ; color ; black"" href=""/science?_ob=MathURL&_method=retrieve&_udi=B6TYJ-4X5YWR8-7&_mathId=mml7&_user=10&_cdi=5620&_pii=S0898122109005823&_rdoc=19&_issn=08981221&_acct=C000050221&_version=1&_userid=10&md5=253
• 刊名：Computers and Mathematics with Applications
• 出版年：2010
• 出版时间：January 2010
• 年：2010
• 卷：59
• 期：1
• 页码：161-175
• 全文大小：854 K

文摘

Using the ideas of belonging and quasi-coincidence of a fuzzy point with a fuzzy set, the concepts of (α,β)-fuzzy ideals and (α,β)-fuzzy generalized bi-ideals, which are generalization of fuzzy ideals and fuzzy generalized bi-ideals, in a semigroup are introduced, and related properties are investigated. We also define the lower and upper parts of fuzzy subsets of a semigroup. Characterizations of regular semigroups by the properties of the lower part of (,q)-fuzzy left ideals, (,q)-fuzzy quasi-ideals and (,q)-fuzzy generalized bi-ideals are given.