On Fuzzy Interior Ideals in Semigroups
Received:April 07, 2006  Revised:August 26, 2006
Key Words: fuzzy interior ideals   interval valued $(\in,\in\vee q)$-fuzzy interior ideals   interval valued fuzzy interior ideals with thresholds.  
Fund Project:the National Natural Science Foundation of China (No. 60474022); the Key Science Foundation of Education Committee of Hubei Province (No. D200729003).
Author NameAffiliation
ZHAN Jian-ming Department of Mathematics, Hubei Institute for Nationalities, Hubei 445000, China 
MA Xue-ling Department of Mathematics, Hubei Institute for Nationalities, Hubei 445000, China 
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Abstract:
      The concept of quasi-coincidence of a fuzzy interval value in an interval valued fuzzy set is a generalization of the quasi-coincidence of a fuzzy point in a fuzzy set. With this new concept, the interval valued $(\in,\in\vee q)$-fuzzy interior ideal in semigroups is introduced. In fact, this kind of new fuzzy interior ideals is a generalization of fuzzy interior ideals in semigroups. In this paper, this kind of fuzzy interior ideals and related properties will be investigated. Moreover, the concept of a fuzzy subgroup with threshold is extended to the concept of an interval valued fuzzy interior ideal with threshold in semigroups.
Citation:
DOI:10.3770/j.issn:1000-341X.2008.01.014
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