半群的模糊内理想

On Fuzzy Interior Ideals in Semigroups

中文关键词:  模糊内理想  区间值$(\in,\in \vee q)$-模糊内理想  具有阙值的区间值模糊内理想.

英文关键词:fuzzy interior ideals  interval valued $(\in,\in\vee q)$-fuzzy interior ideals  interval valued fuzzy interior ideals with thresholds.

中文摘要:

      首先引入区间值模集的模糊区间值的拟一致的概念. 利用此概念, 定义了半群的区间值$(\in,\in \vee q)$-模糊内理想的概念, 刻划其性质和特征. 此外,我们将半群的具有阙值的模糊子群的概念推广到半群的具有阙值的区间值模糊内理想.

英文摘要:

      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.