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Group decision-making analysis based on linguistic q-rung orthopair fuzzy generalized point weighted aggregation operators

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Abstract

The q-rung orthopair fuzzy sets (q-ROFSs), originally proposed by Yager, can express uncertain data to give decision-makers more space. The q-ROFS is a useful tool for describing imprecision, ambiguity, and inaccuracy, and the point operator is a useful aggregation operator which can manage the uncertainty and thus obtain intensive information within the decision-making process. In the latest realization, the linguistic q-rung orthopair fuzzy number (Lq-ROFN) is suggested where the linguistic variables are expressed as membership and non-membership of the Lq-ROFN. In this article, we propose the q-rung orthopair fuzzy linguistic family of point aggregation operators for linguistic q-rung orthopair fuzzy sets (Lq-ROFSs). Firstly, with the arithmetic and geometric operators, we introduce a new class of point-weighted aggregation operators to aggregate linguistic q-rung orthopair fuzzy information such as linguistic q-rung orthopair fuzzy point weighted averaging (Lq-ROFPWA) operators, linguistic q-rung orthopair fuzzy point weighted geometric (Lq-ROFPWG) operators, linguistic q-rung orthopair fuzzy generalized point weighted averaging (Lq-ROFGPWA) operators and linguistic q-rung orthopair fuzzy generalized point weighted geometric (Lq-ROFGPWG) operators. Then, we discuss some special cases and study the properties of these proposed operators. Based on Lq-ROFPWA and Lq-ROFPWG operators, a novel multi attribute group decision-making (MAGDM) methodology is designed to process the linguistic q-rung orthopair fuzzy information. Finally, we provide an example to demonstrate the applicability of the MAGDM. Consequently, the outstanding superiority of the developed methodology is assisted in a variety of ways by parameter exploration and thorough comparative analysis.

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Authors and Affiliations

  1. School of Management Science and Engineering, Shandong University of Finance and Economics, Jinan, 250014, Shandong, China

    Peide Liu

  2. Department of Mathematics, Division of Science and Technology, University of Education, Lahore, Pakistan

    Sumera Naz

  3. Department of Mathematics, University of the Punjab, New Campus, Lahore, 54590, Pakistan

    Muhammad Akram

  4. School of Mathematics, Minhaj University, Lahore, Pakistan

    Mamoona Muzammal

Authors
  1. Peide Liu
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  2. Sumera Naz
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  3. Muhammad Akram
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  4. Mamoona Muzammal
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Correspondence to Peide Liu.

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Liu, P., Naz, S., Akram, M. et al. Group decision-making analysis based on linguistic q-rung orthopair fuzzy generalized point weighted aggregation operators. Int. J. Mach. Learn. & Cyber. 13, 883–906 (2022). https://doi.org/10.1007/s13042-021-01425-2

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  • DOI: https://doi.org/10.1007/s13042-021-01425-2

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