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A study of fuzzy soft interior ideals of ordered semigroups | ||
| Iranian Journal of Science | ||
| مقاله 7، دوره 37، شماره 3، آبان 2013، صفحه 237-249 اصل مقاله (259.64 K) | ||
| نوع مقاله: Regular Paper | ||
| شناسه دیجیتال (DOI): 10.22099/ijsts.2013.1601 | ||
| نویسندگان | ||
| A. Khan* 1؛ N. H. Sarmin2؛ F. M. Khan2؛ B. Davvaz3 | ||
| 1Abdul Wali Khan University | ||
| 2Department of Mathematical Sciences, Faculty of Science, Universiti Teknologi Malaysia, 81310 UTM Johor Bahru, Johor, Malaysia | ||
| 3Department of Mathematics, Yazd University Yazd, Iran | ||
| چکیده | ||
| 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 simple ordered 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 and intra-regular ordered semigroups are characterized by means of fuzzy soft left (right) ideals and fuzzy soft ideals. | ||
| کلیدواژهها | ||
| 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 | ||
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