图像模糊集的几个方面

IF 0.3 Q4 MATHEMATICS

Transactions of A Razmadze Mathematical Institute Pub Date : 2018-08-01 DOI:10.1016/j.trmi.2017.10.006

Palash Dutta, Silpashree Ganju

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引用次数: 44

摘要

图片模糊集(PFS)是最近发展起来的一种处理不确定性的工具，它是直觉模糊集(IFS)的直接扩展，可以在涉及更多这些类型的答案的情况下建模不确定性:是，弃权，否。本文定义了PFS的(α，δ，β)切和强(α，δ，β)切，并证明了PFS的分解定理。然后定义了PFS的可拓原理，并研究了它的一些性质。最后，给出了基于可拓原理的图像模糊算法。

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Some aspects of picture fuzzy set

Picture fuzzy set (PFS) is a recently developed tool to deal with uncertainty which is a direct extension of intuitionistic fuzzy set (IFS) that can model uncertainty in such situations involving more answers of these types: yes, abstain, no. In this paper, ( $α, δ, β$ )-cut and strong ( $α, δ, β$ )-cut of PFS have been defined and decomposition theorems of PFS are proved. Later on extension principle for PFS has been defined and studied some of its properties. Finally, picture fuzzy arithmetic based on extension principle has been performed with examples.

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来源期刊

Transactions of A Razmadze Mathematical Institute MATHEMATICS-

CiteScore

0.50

自引率

50.00%

发文量

审稿时长

22 weeks