• Some m-polar fuzzy operators and their application in multiple-attribute decision-making process

    • Fulltext

       

        Click here to view fulltext PDF


      Permanent link:
      https://www.ias.ac.in/article/fulltext/sadh/046/0095

    • Keywords

       

      m-polar fuzzy sets; m-polar fuzzy Dombi weighted averaging operator; m-polar fuzzy Dombi weighted geometric operator; MADM approach.

    • Abstract

       

      In this study, Dombi operations are introduced on two m-polar fuzzy sets (mFSs). Here, Dombi operation on m-polar fuzzy numbers (mFNs), some new averaging and geometric averaging operators, namely mF Dombi weighted averaging (mFDWA) operator, mF Dombi ordered weighted averaging (mFDOWA)operator, mF Dombi hybrid weighted averaging (mFDHWA) operator, mF Dombi weighted geometric (mFDWG) operator, mF Dombi ordered weighted geometric (mFDOWG) operator, and mF Dombi hybrid weighted geometric (mFDHWGA) operator, have been proposed. Further, some properties like idempotency,boundedness, monotonicity, and commutativity are established. Next, a multi-attribute decision-making (MADM) method in mFNs environment based on mFDWA and mFDWG operators is constructed. Finally, an application of the present MADM method for selecting the best location for the construction of thermal power stations is presented. The present approach with the existing procedure is also compared and a sensitivity analysis of the proposed plan is given.

    • Author Affiliations

       

      CHIRANJIBE JANA1 MADHUMANGAL PAL1

      1. Department of Applied Mathematics with Oceanology and Computer Programming, Vidyasagar University, Midnapore 721102, India
    • Dates

       
  • Sadhana | News

    • Editorial Note on Continuous Article Publication

      Posted on July 25, 2019

      Click here for Editorial Note on CAP Mode

© 2021-2022 Indian Academy of Sciences, Bengaluru.