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F-transforms determined by implicators | ||
| Iranian Journal of Fuzzy Systems | ||
| دوره 18، شماره 4، مهر و آبان 2021، صفحه 19-36 اصل مقاله (414.02 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22111/ijfs.2021.6174 | ||
| نویسندگان | ||
| A. Tripathi* 1؛ S. P. Tiwari1؛ I. Perfilieva2 | ||
| 1Department of Mathematics \& Computing, Indian Institute of Technology (ISM) Dhanbad-826004, India | ||
| 2University of Ostrava, Institute for Research and Applications of Fuzzy Modeling, NSC IT4Innovations, 30. dubna 22, 701 03, Ostrava 1, Czech Republic | ||
| چکیده | ||
| This work aims to study F-transforms based on general implicators and to investigate their basic properties. Interestingly, we show that some of the properties of F-transforms fail to hold in the case of implicators, such as S- and QL-implicators. {Further, we establish an equivalence between L-fuzzy transformation systems and F-transforms}. | ||
| کلیدواژهها | ||
| Implicator؛ L-fuzzy partition؛ F-transform؛ L-fuzzy transformation system | ||
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آمار تعداد مشاهده مقاله: 662 تعداد دریافت فایل اصل مقاله: 563 |
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