PYTHAGOREAN PICTURE FUZZY SETS(PPFS), PART 2- SOME MAIN PICTURE LOGIC OPERATORS ON PPFS AND SOME PICTURE INFERENCE PROCESSES IN PPF SYSTEMS

B. Cuong
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Abstract

Pythagorean picture fuzzy set (PPFS) - is a combination of Picture fuzzy set with the Yager’s Pythagorean fuzzy set [12-14]. In the first part of  the paper [17] we considered basic notions on PPFS as set operators of PPFS. Unfortunately, we have not papers [18,19, 20]  about spherical fuzzy sets with the same definition with some operators and applications to multi attribute group decision making problems. Now in the second part, we will present some main operators in picture fuzzy logic on PPFS: picture negation operator, picture t-norm, picture t-conorm, picture implication operators on PPFS. Last, the compositional rule of inference in PPFS setting should be presented and an  numerical example was given.
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毕达哥拉斯图像模糊集(ppfs),第2部分- ppfs上的一些主要图像逻辑算子和PPF系统中的一些图像推理过程
毕达哥拉斯图像模糊集(PPFS)——是图像模糊集与Yager’s毕达哥拉斯模糊集的结合[12-14]。在本文的第一部分[17]中,我们将PPFS的基本概念视为PPFS的集合算子。遗憾的是,我们没有论文[18,19,20]讨论具有相同定义的球面模糊集和一些算子及其在多属性群决策问题中的应用。在第二部分中,我们将给出PPFS上图像模糊逻辑中的一些主要算子:图像否定算子、图像t-范数、图像t-符合算子、图像蕴涵算子。最后,提出了PPFS环境下推理的组合规则,并给出了数值算例。
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