Year 2019, Volume , Issue 28, Pages 5 - 19 2019-05-07

An Approach for Multi-criteria Decision Making Problems with Unknown Weight Information using GRA Method Under the Picture Linguistic Fuzzy Environment

Muhammad Qiyas [1] , Saleem Abdullah [2] , Shahzaib Ashraf [3] , Saifullah Khan [4]

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In this article we used picture linguistic fuzzy Choquet integral weighted averaging (PLFCIWA) operator for multi-attribute group decision making problem, where the attribute weight information are completely unknown. Firstly, we utilized the PLFCIWA operator to aggregate the total preference value of each alternative by decision makers. An optimization model are used to obtain the weighting vector of the criteria, using the basic ideal of traditional grey relational analysis (GRA) method. The degree of grey relation between every alternative and positive-ideal solution and negative-ideal solution is computed. Then, a relative relational degree is defined to find the ranking order of all alternatives by calculating the degree of grey relation to both the positive-ideal solution (PIS) and negative ideal solution (NIS) simultaneously. Finally, a descriptive example is solved to satisfy effectiveness and practicality of the proposed techniques.

Picture linguistic fuzzy set, Picture linguistic fuzzy Choquet integral weighted averaging (PLFCIWA) operator, GRA method
  • K. T. "Atanassov, Intuitionistic fuzzy sets". Fuzzy Sets Syst; 20(1):87–96,(1986)
  • G. I. Adamopoulos and G. P. Pappis, "A fuzzy linguistic approach to a multi-criteria sequencing problems", European Journal of operational Research, 92:628-636, (1996).
  • K. T. Atanassov, "More on intuitionistic fuzzy sets", Fuzzy Sets and System,33: 37-46, (1989)
  • M. J. Bolaños et al, "Convergence properties of the monotone expectation and its application to the extension of fuzzy measures", Fuzzy Sets and Systems,Vol. 33: No. 2, pp. 201-212, November, (1989)
Primary Language en
Journal Section Research Article
Authors

Author: Muhammad Qiyas (Primary Author)
Institution: Abdul wali khan university, Mardan
Country: Pakistan


Author: Saleem Abdullah

Author: Shahzaib Ashraf

Author: Saifullah Khan

Bibtex @research article { jnt500858, journal = {Journal of New Theory}, issn = {2149-1402}, eissn = {2149-1402}, address = {Gaziosmanpasa University}, year = {2019}, volume = {}, pages = {5 - 19}, doi = {}, title = {An Approach for Multi-criteria Decision Making Problems with Unknown Weight Information using GRA Method Under the Picture Linguistic Fuzzy Environment}, key = {cite}, author = {Qiyas, Muhammad and Abdullah, Saleem and Ashraf, Shahzaib and Khan, Saifullah} }
APA Qiyas, M , Abdullah, S , Ashraf, S , Khan, S . (2019). An Approach for Multi-criteria Decision Making Problems with Unknown Weight Information using GRA Method Under the Picture Linguistic Fuzzy Environment. Journal of New Theory, (28), 5-19. Retrieved from http://dergipark.org.tr/jnt/issue/45019/500858
MLA Qiyas, M , Abdullah, S , Ashraf, S , Khan, S . "An Approach for Multi-criteria Decision Making Problems with Unknown Weight Information using GRA Method Under the Picture Linguistic Fuzzy Environment". Journal of New Theory (2019): 5-19 <http://dergipark.org.tr/jnt/issue/45019/500858>
Chicago Qiyas, M , Abdullah, S , Ashraf, S , Khan, S . "An Approach for Multi-criteria Decision Making Problems with Unknown Weight Information using GRA Method Under the Picture Linguistic Fuzzy Environment". Journal of New Theory (2019): 5-19
RIS TY - JOUR T1 - An Approach for Multi-criteria Decision Making Problems with Unknown Weight Information using GRA Method Under the Picture Linguistic Fuzzy Environment AU - Muhammad Qiyas , Saleem Abdullah , Shahzaib Ashraf , Saifullah Khan Y1 - 2019 PY - 2019 N1 - DO - T2 - Journal of New Theory JF - Journal JO - JOR SP - 5 EP - 19 VL - IS - 28 SN - 2149-1402-2149-1402 M3 - UR - Y2 - 2019 ER -
EndNote %0 Journal of New Theory An Approach for Multi-criteria Decision Making Problems with Unknown Weight Information using GRA Method Under the Picture Linguistic Fuzzy Environment %A Muhammad Qiyas , Saleem Abdullah , Shahzaib Ashraf , Saifullah Khan %T An Approach for Multi-criteria Decision Making Problems with Unknown Weight Information using GRA Method Under the Picture Linguistic Fuzzy Environment %D 2019 %J Journal of New Theory %P 2149-1402-2149-1402 %V %N 28 %R %U
ISNAD Qiyas, Muhammad , Abdullah, Saleem , Ashraf, Shahzaib , Khan, Saifullah . "An Approach for Multi-criteria Decision Making Problems with Unknown Weight Information using GRA Method Under the Picture Linguistic Fuzzy Environment". Journal of New Theory / 28 (May 2019): 5-19.