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The Application of GRA Method Base on Choquet Integral Using Spherical Fuzzy Information in Decision Making Problems

Shahzaib ASHRAF [1] , Saleem ABDULLAH [2] , Muhammad QİYAS [3] , Aziz KHAN [4]

Spherical fuzzy set is the generalized structure over existing structures of fuzzy sets to deals with uncertainty and imprecise information in decision-making problems. Viewing the effectiveness of the spherical fuzzy set, we developed a decision-making algorithm to deal with multi-criteria decision-making problems. In this paper, we extend operational laws to propose spherical fuzzy Choquet integral weighted averaging (SFCIWA) operator based on spherical fuzzy numbers. Further, the proposed SFCIWA operator is applied to multi-attribute group decision-making problems. Also, we propose the GRA method to aggregate the spherical fuzzy information. To implement the proposed models, we provide some numerical applications of group decision-making problems. Also compared with the previous model, we conclude that the proposed technique is more effective and reliable.

Choquet integral, Spherical fuzzy Choquet integral weighted averaging (SFCIWA) operator, GRA method, Spherical fuzzy sets, Decision making technique.
• Ashraf, S. and Abdullah, S., 2019. Spherical aggregation operators and their application in multi-attribute group decision-making. International Journal of Intelligent Systems, 34(3), pp.493-523.
Primary Language en Mathematics Research Article Author: Shahzaib ASHRAF (Primary Author)Country: Pakistan Author: Saleem ABDULLAH Country: Pakistan Author: Muhammad QİYAS Country: Pakistan Author: Aziz KHAN Institution: Abdul Wali Khan University no funding supporting agency Publication Date : May 7, 2019
 Bibtex @research article { jnt561188, journal = {Journal of New Theory}, issn = {2149-1402}, eissn = {2149-1402}, address = {Mathematics Department, Gaziosmanpasa University 60250 Tokat-TURKEY.}, publisher = {Gaziosmanpasa University}, year = {2019}, volume = {}, pages = {84 - 97}, doi = {}, title = {The Application of GRA Method Base on Choquet Integral Using Spherical Fuzzy Information in Decision Making Problems}, key = {cite}, author = {Ashraf, Shahzaib and Abdullah, Saleem and Qi̇yas, Muhammad and Khan, Aziz} } APA Ashraf, S , Abdullah, S , Qi̇yas, M , Khan, A . (2019). The Application of GRA Method Base on Choquet Integral Using Spherical Fuzzy Information in Decision Making Problems . Journal of New Theory , (28) , 84-97 . Retrieved from https://dergipark.org.tr/en/pub/jnt/issue/45019/561188 MLA Ashraf, S , Abdullah, S , Qi̇yas, M , Khan, A . "The Application of GRA Method Base on Choquet Integral Using Spherical Fuzzy Information in Decision Making Problems" . Journal of New Theory (2019 ): 84-97 Chicago Ashraf, S , Abdullah, S , Qi̇yas, M , Khan, A . "The Application of GRA Method Base on Choquet Integral Using Spherical Fuzzy Information in Decision Making Problems". Journal of New Theory (2019 ): 84-97 RIS TY - JOUR T1 - The Application of GRA Method Base on Choquet Integral Using Spherical Fuzzy Information in Decision Making Problems AU - Shahzaib Ashraf , Saleem Abdullah , Muhammad Qi̇yas , Aziz Khan Y1 - 2019 PY - 2019 N1 - DO - T2 - Journal of New Theory JF - Journal JO - JOR SP - 84 EP - 97 VL - IS - 28 SN - 2149-1402-2149-1402 M3 - UR - Y2 - 2019 ER - EndNote %0 Journal of New Theory The Application of GRA Method Base on Choquet Integral Using Spherical Fuzzy Information in Decision Making Problems %A Shahzaib Ashraf , Saleem Abdullah , Muhammad Qi̇yas , Aziz Khan %T The Application of GRA Method Base on Choquet Integral Using Spherical Fuzzy Information in Decision Making Problems %D 2019 %J Journal of New Theory %P 2149-1402-2149-1402 %V %N 28 %R %U ISNAD Ashraf, Shahzaib , Abdullah, Saleem , Qi̇yas, Muhammad , Khan, Aziz . "The Application of GRA Method Base on Choquet Integral Using Spherical Fuzzy Information in Decision Making Problems". Journal of New Theory / 28 (May 2019): 84-97 . AMA Ashraf S , Abdullah S , Qi̇yas M , Khan A . The Application of GRA Method Base on Choquet Integral Using Spherical Fuzzy Information in Decision Making Problems. JNT. 2019; (28): 84-97. Vancouver Ashraf S , Abdullah S , Qi̇yas M , Khan A . The Application of GRA Method Base on Choquet Integral Using Spherical Fuzzy Information in Decision Making Problems. Journal of New Theory. 2019; (28): 84-97.

Authors of the Article
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