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On the convergence of series of fuzzy numbers

Elhassan ElJaoui|Said Melliani|L. Saadia Chadli
기초자연과학연구소 (The Natural Science Institute Wonkwang University)|2022.04|ANNALS OF FUZZY MATHEMATICS AND INFORMATICS|제23권 제2호|pp. 193-212|DOI 10.30948/afmi.2022.23.2.193

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참고문헌

키워드

Absolute convergenceFuzzy seriesFuzzy Abel theoremFuzzy comparison testFuzzy ratio testFuzzy root test

초록

In this paper, we study some criteria for three types of convergence of series of fuzzy numbers, using the usual order relation ex- tended to intervals and fuzzy numbers. Then, we prove a fuzzy version of Abel theorem for fuzzy series, we introduce the fuzzy Cauchy product of two fuzzy series, which we apply to prove the main properties of the exponential of a fuzzy number. To illustrate our theoretical results, we exhibit some examples namely the fuzzy geometric and telescopic series.

Abstract

In this paper, we study some criteria for three types of convergence of series of fuzzy numbers, using the usual order relation ex- tended to intervals and fuzzy numbers. Then, we prove a fuzzy version of Abel theorem for fuzzy series, we introduce the fuzzy Cauchy product of two fuzzy series, which we apply to prove the main properties of the exponential of a fuzzy number. To illustrate our theoretical results, we exhibit some examples namely the fuzzy geometric and telescopic series.

참고문헌 (19)

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