Multi-Criteria Decision Making Based on Bipolar Picture Fuzzy Operators and New Distance Measures
作者机构：Department of MathematicsUniversity of the PunjabLahore54590Pakistan School of MathematicsThapar Institute of Engineering and Technology(Deemed University)Patiala147004India Algebra and Applications Research UnitDivision of Computational ScienceFaculty of SciencePrince of Songkla UniversityHat YaiSongkhla90110Thailand Centre of Excellence in MathematicsBangkok10400Thailand
出 版 物：《Computer Modeling in Engineering & Sciences》 (工程与科学中的计算机建模（英文）)
年 卷 期：2021年第127卷第5期
页 面：771-800页
核心收录：
学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学]
主 题：Bipolar picture fuzzy set aggregation operators distance measures pattern recognition MCDM
摘 要：This paper aims to introduce the novel concept of the bipolar picture fuzzy set(BPFS)as a hybrid structure of bipolar fuzzy set(BFS)and picture fuzzy set(PFS).BPFS is a new kind of fuzzy sets to deal with bipolarity(both positive and negative aspects)to each membership degree(belonging-ness),neutral membership(not decided),and non-membership degree(refusal).In this article,some basic properties of bipolar picture fuzzy sets(BPFSs)and their fundamental operations are *** score function,accuracy function and certainty function are suggested to discuss the comparability of bipolar picture fuzzy numbers(BPFNs).Additionally,the concept of new distance measures of BPFSs is presented to discuss geometrical properties of *** the context of BPFSs,certain aggregation operators(AOs)named as“bipolar picture fuzzy weighted geometric(BPFWG)operator,bipolar picture fuzzy ordered weighted geometric(BPFOWG)operator and bipolar picture fuzzy hybrid geometric(BPFHG)operatorare defined for information aggregation of *** on the proposed AOs,a new multicriteria decision-making(MCDM)approach is proposed to address uncertain real-life ***,a practical application of proposed methodology is also illustrated to discuss its feasibility and applicability.
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