On Rough Convergence of Fuzzy Numbers Based on α-Level Sets

Q4 Mathematics

Journal of the Indian Mathematical Society Pub Date : 2018-01-04 DOI:10.18311/JIMS/2018/17869

S. Debnath, D. Rakshit

引用次数: 3

Abstract

In this paper we have established some basic properties of rough convergence for fuzzy number sequences. Also introduce the set of rough limit points of a sequence of fuzzy number using α-level set and prove some results associated with this set.

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基于α-水平集的模糊数的粗糙收敛性

本文建立了模糊数序列粗糙收敛的几个基本性质。同时利用α-水平集引入了模糊数序列的粗糙极限点集，并证明了与此集有关的一些结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Journal of the Indian Mathematical Society Mathematics-Mathematics (all)

CiteScore

0.50

自引率

0.00%

发文量

期刊介绍： The Society began publishing Progress Reports right from 1907 and then the Journal from 1908 (The 1908 and 1909 issues of the Journal are entitled "The Journal of the Indian Mathematical Club"). From 1910 onwards,it is published as its current title ''the Journal of Indian Mathematical Society. The four issues of the Journal constitute a single volume and it is published in two parts: issues 1 and 2 (January to June) as one part and issues 3 and 4 (July to December) as the second part. The four issues of the Mathematics Student (another periodical of the Society) are published as a single yearly volume. Only the original research papers of high quality are published in the Journal of Indian Mathematical Society.