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Spherical uncertain linguistic Hamacher aggregation operators and their application on achieving consistent opinion fusion in group decision making

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International Journal of Intelligent Computing and Cybernetics 2021年第4期14卷 550-579页

作者： muhammad qiyas Saleem Abdullah muhammad Naeem Mathematics Abdul Wali Khan UniversityMardanPakistan Abdul Wali Khan University MardanPakistanand Department of Preparatory Year Umm Al-Qura UniversityMakkahSaudi Arabia

Purpose-The aim of this research is to establish a new type of aggregation operator based on Hamacher operational law of spherical uncertain linguistic numbers(SULNs).Design/methodology/approach-First,the authors define spherical uncertain linguistic sets and develop some operational laws of ***,the authors extended these operational laws to the aggregation operator and developed spherical uncertain linguistic Hamacher averaging and geometric aggregation ***-The authors were limited in achieving a consistent opinion on the fusion in group decision-making problem with the SULN ***/value-In order to give an application of the introduced operators,the authors first constrict a system of multi-attribute decision-making algorithm.

关键词： Multi-attribute group decision making Spherical fuzzy set Spherical uncertain linguistic Hamacher averaging operators Spherical uncertain linguistic Hamacher geometric operators

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Concept of Yager operators with the picture fuzzy set environment and its application to emergency program selection

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International Journal of Intelligent Computing and Cybernetics 2020年第4期13卷 455-483页

作者： muhammad qiyas muhammad Ali Khan Saifullah Khan Saleem Abdullah Mathematics Abdul Wali Khan UniversityMardanPakistan Abdul Wali Khan University MardanPakistan

Purpose-The aim of this study as to find out an approach for emergency program ***/methodology/approach-The authors have generated six aggregation operators(AOs),namely picture fuzzy Yager weighted average(PFYWA),picture fuzzy Yager ordered weighted average,picture fuzzy Yager hybrid weighted average,picture fuzzy Yager weighted geometric(PFYWG),picture fuzzy Yager ordered weighted geometric and picture fuzzy Yager hybrid weighted geometric aggregations ***-First of all,the authors defined the score and accuracy function for picture fuzzy set(FS),and some fundamental operational laws for picture FS using the Yager aggregation *** that,using the developed operational laws,developed some AOs,namely PFYWA,picture fuzzy Yager ordered weighted average,picture fuzzy Yager hybrid weighted average,PFYWG,picture fuzzy Yager ordered weighted geometric and picture fuzzy Yager hybrid weighted geometric aggregations operators,have been proposed along with their desirable properties.A decision-making(DM)approach based on these operators has also been *** illustrative example has been given for demonstrating the ***,discussed the comparison of the proposed method with the other existing methods and write the conclusion of the ***/value-To find the best alternative for emergency program selection.

关键词： Yager operations Arithmetic aggregation operators Geometric aggregation operators Emergency program selection Decision-making

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