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GENERALIZED RESIDUATED LATTICES BASED F-TRANSFORM | ||
Iranian Journal of Fuzzy Systems | ||
مقاله 11، دوره 15، شماره 2، خرداد و تیر 2018، صفحه 165-182 اصل مقاله (355.46 K) | ||
نوع مقاله: Research Paper | ||
شناسه دیجیتال (DOI): 10.22111/ijfs.2018.3766 | ||
نویسندگان | ||
S. P. Tiwari* 1؛ I. Perfilieva2؛ A. P. Singh1 | ||
1Department of Applied Mathematics, Indian Institute of Technology (ISM), Dhanbad-826004, Jharkhand, India | ||
2University of Ostrava, Institute for Research and Applications of Fuzzy Modeling, NSC IT4Innovations, 30. dubna 22, 701 03 Ostrava 1, Czech Republic | ||
چکیده | ||
The aim of the present work is to study the $F$-transform over a generalized residuated lattice. We discuss the properties that are common with the $F$-transform over a residuated lattice. We show that the $F^{\uparrow}$-transform can be used in establishing a fuzzy (pre)order on the set of fuzzy sets. | ||
کلیدواژهها | ||
Generalized residuated lattice؛ Fuzzy partition؛ Direct $F$-transform؛ Inverse $F$-transform | ||
مراجع | ||
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