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A NOTE ON INTUITIONISTIC FUZZY MAPPINGS | ||
| Iranian Journal of Fuzzy Systems | ||
| مقاله 6، دوره 9، شماره 5، زمستان 2012، صفحه 63-76 اصل مقاله (386.96 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22111/ijfs.2012.104 | ||
| نویسندگان | ||
| Yong-hong Shen1؛ Fa-xing Wang2؛ Wei Chen3 | ||
| 1School of Mathematics and Statistics, Tianshui Normal Univer- sity, Tianshui 741001, People's Republic of China | ||
| 2Tongda College, Nanjing University of Posts and Telecommunica- tions, Nanjing, 210046, People's Republic of China | ||
| 3School of Information, Capital University of Economics and Business, Beijing, 100070, People's Republic of China | ||
| چکیده | ||
| In this paper, the concept of intuitionistic fuzzy mapping as a generalization of fuzzy mapping is presented, and its' relationship with intuitionistic fuzzy relations is derived. Moreover, some basic operations of intuitionistic fuzzy mappings are defined, hence we can conclude that all of intuitionistic fuzzy mappings constitute a soft algebra with respect to these operations. Afterwards, the Atanassov's operator is applied to intuitionistic fuzzy mappings and the corresponding properties are examined. Finally, the decomposition and representation theorems of intuitionistic fuzzy mappings are established. | ||
| کلیدواژه‌ها | ||
| Truncation projection؛ Intuitionistic fuzzy mapping؛ Truncation map- ping؛ Decomposition theorem؛ Representation theorem | ||
| مراجع | ||
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