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Power Aggregation Operators and Similarity Measures Based on Improved Intuitionistic Hesitant Fuzzy Sets and their Applications to Multiple Attribute Decision Making

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Computer Modeling in Engineering & Sciences 2021年第3期126卷 1165-1187页

作者： Tahir Mahmood Wajid Ali Zeeshan Ali ronnason chinram Department of Mathematics and Statistics International Islamic UniversityIslamabadPakistan Algebra and Applications Research Unit Division of Computational ScienceFaculty of SciencePrince of Songkla UniversityHat YaiSongkhlaThailand

Intuitionistic hesitant fuzzy set(IHFS)is amixture of two separated notions called intuitionistic fuzzy set(IFS)and hesitant fuzzy set(HFS),as an important technique to cope with uncertain and awkward information in realistic decision *** contains the grades of truth and falsity in the formof the subset of the unit *** notion of IHFS was defined by many scholars with different conditions,which contain several ***,keeping in view the problems of already defined IHFSs,we will define IHFS in another way so that it becomes compatible with other existing *** examine the interrelationship between any numbers of IHFSs,we combined the notions of power averaging(PA)operators and power geometric(PG)operators with IHFSs to present the idea of intuitionistic hesitant fuzzy PA(IHFPA)operators,intuitionistic hesitant fuzzy PG(IHFPG)operators,intuitionistic hesitant fuzzy power weighted average(IHFPWA)operators,intuitionistic hesitant fuzzy power ordered weighted average(IHFPOWA)operators,intuitionistic hesitant fuzzy power ordered weighted geometric(IHFPOWG)operators,intuitionistic hesitant fuzzy power hybrid average(IHFPHA)operators,intuitionistic hesitant fuzzy power hybrid geometric(IHFPHG)operators and examined as well their fundamental *** special cases of the explored work are also ***,the similarity measures based on IHFSs are presented and their advantages are discussed along ***,we initiated a new approach to multiple attribute decision making(MADM)problem applying suggested operators and a mathematical model is solved to develop an approach and to establish its common sense and ***,comparative analysis,and graphical representation of the presented work are elaborated to show the reliability and effectiveness of the presented works.

关键词： Intuitionistic fuzzy sets intuitionistic hesitant fuzzy sets power aggregation operators similarity measures multiple attribute decision making

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Multi-Criteria Decision Making Based on Bipolar Picture Fuzzy Operators and New Distance Measures

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Computer Modeling in Engineering & Sciences 2021年第5期127卷 771-800页

作者： Muhammad Riaz Harish Garg Hafiz Muhammad Athar Farid ronnason chinram Department of Mathematics University of the PunjabLahore54590Pakistan School of Mathematics Thapar Institute of Engineering and Technology(Deemed University)Patiala147004India Algebra and Applications Research Unit Division of Computational ScienceFaculty of SciencePrince of Songkla UniversityHat YaiSongkhla90110Thailand Centre of Excellence in Mathematics Bangkok10400Thailand

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)operator”are 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.

关键词： Bipolar picture fuzzy set aggregation operators distance measures pattern recognition MCDM

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