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Pseudo-Fredholm operators in generator-based ∗-fuzzy measure spaces: Stability and Nyström approximation | ||
| Iranian Journal of Fuzzy Systems | ||
| مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 02 مهر 1405 اصل مقاله (662.11 K) | ||
| نوع مقاله: Original Manuscript | ||
| شناسه دیجیتال (DOI): 10.22111/ijfs.2026.10184 | ||
| نویسندگان | ||
| M. S. Abolhassanifar1؛ R. Saadati* 2؛ B. Pazar Varol3 | ||
| 1School of Mathematics and Computer Science, Iran University of Science and Technology, Narmak, Tehran 16846-13114, Iran. | ||
| 2Department of Mathematics, Iran University of Science and Technology, Tehran, Iran | ||
| 3Department of Mathematics, Faculty of Arts and Sciences, Kocaeli University, Kocaeli, Turkiye. | ||
| چکیده | ||
| In this paper, we study pseudo-Fredholm equations in generator-based ∗–fuzzy measure spaces. A control radius is defined from the generator and the ∗-fuzzy integral, and a Boyd-Wong-type fixed-point theorem is proved. We obtain residual, inexact-iteration, and data-stability estimates. For the Hamacher triangular norm, the pseudo-Nyström scheme is second- order convergent. Changes of generator, perturbations of the ∗-fuzzy measure, and a bi-scale L1–L2 generator error construction are also considered. | ||
| کلیدواژهها | ||
| ∗-fuzzy measure؛ generator-based pseudo-analysis؛ pseudo-Fredholm operator؛ Hamacher triangular norm؛ Nyström approximation | ||
| مراجع | ||
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