A study of fuzzy soft interior ideals of ordered semigroups

被引：0
作者：
Khan, A. [1 ]
Sarmin, N. H. [2 ]
Khan, F. M. [2 ]
Davvaz, B. [3 ]
机构：
[1] Abdul Wali Khan Univ, Dept Math, Khyber Pukhtoon Khwa, Mardan, Pakistan
[2] Univ Teknol Malaysia, Dept Math Sci, Fac Sci, Utm Johor Bahru 81310, Johor, Malaysia
[3] Yazd Univ, Dept Math, Yazd, Iran
来源：
IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A-SCIENCE | 2013年 / 37卷 / A3期
关键词：
Ordered semigroups; regular; (left; right and completely regular) ordered semigroups; fuzzy left (right) ideals; fuzzy interior ideals; soft left (right) ideals; soft interior ideals; fuzzy soft left (right) ideals; fuzzy soft; interior ideals; SET-THEORY; REDUCTION;
D O I：
暂无
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
In this paper, we present the concepts of a fuzzy soft left (right) ideal and fuzzy soft;interior,ideal over an ordered semigroup S. Some basic results of fuzzy soft left (right) ideals and fuzzy soft, interior ideals are investigated and the supported examples are provided. Different classes, regular, intra-regular and ssimplordered semigroups are characterized by means of fuzzy soft left (right) ideals and fuzzy soft interior ideals. It is shown that an ordered semigroup is simple if and only if it is fuzzy soft simple. Furthermore, left (right) regular intra-regular ordered semigroups are characterized by means of fuzzy soft left (right) ideals and fuzzy soft ideals.
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页码：237 / 249
页数：13
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