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SOLUTION-SET INVARIANT MATRICES AND VECTORS IN FUZZY RELATION INEQUALITIES BASED ON MAX-AGGREGATION FUNCTION COMPOSITION | ||
| Iranian Journal of Fuzzy Systems | ||
| مقاله 7، دوره 13، شماره 7، زمستان 2016، صفحه 91-100 اصل مقاله (350.52 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22111/ijfs.2016.2945 | ||
| نویسندگان | ||
| F. Kouchakinejad* 1؛ M. Mashinchi2؛ R. Mesiar3 | ||
| 1Department of Mathematics, Graduate University of Advanced Technology, Kerman, Iran | ||
| 2Department of Statistics, Faculty of Mathematics and Computer Sciences, Shahid Bahonar University of Kerman, Kerman, Iran | ||
| 3Slovak University of Technology in Bratislava, Faculty of Civil Engineering, Radlinskeho 11, 810 05 Bratislava, Slovak Republic | ||
| چکیده | ||
| Fuzzy relation inequalities based on max-F composition are discussed, where F is a binary aggregation on [0,1]. For a fixed fuzzy relation inequalities system $ A \circ^{F}\textbf{x}\leq\textbf{b}$, we characterize all matrices $ A^{'} $ For which the solution set of the system $ A^{' } \circ^{F}\textbf{x}\leq\textbf{b}$ is the same as the original solution set. Similarly, for a fixed matrix $ A $, the possible perturbations $ b^{'} $ of the right-hand side vector $ b $ not modifying the original solution set are determined. Several illustrative examples are included to clarify the results of the paper. | ||
| کلیدواژه‌ها | ||
| aggregation function؛ Max-aggregation function composition؛ Solution-set invariant matrices؛ Solution-set invariant vectors؛ System of fuzzy relation inequalities | ||
| مراجع | ||
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