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.
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Fund Project:the National Natural Science Foundation of China (No. 60474022); the Key Science Foundation of Education Committee of Hubei Province (No. D200729003). |
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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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