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Intuitionistic Trapezoidal Fuzzy MAGDM Problems with Sumudu Transform in Numerical Methods

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  • John Robinson P.

    (Bishop Heber College, Tamilnadu, India)

  • Jeeva S

    (Bishop Heber College, Tamilnadu, India)

Abstract

Multiple attribute group decision making (MAGDM) is an important scientific, social, and economic endeavor. The ability to make consistent and correct choices is the essence of any decision process imbued with uncertainty. In situations where the information or data is in the form of an intuitionistic trapezoidal fuzzy numbers, or to construct the MAGDM problem, an intuitionistic trapezoidal fuzzy weighted averaging (ITzFWA) operator and an intuitionistic trapezoidal fuzzy hybrid aggregation (ITzFHA) operator are used. In this article, the decision maker provides the weights for aggregation in the form of an initial value problem of ordinary differential equations based on the study made on the data given by the decision maker. Decision maker weights are derived through sumudu transformation and various other numerical methods by obtaining the solution of differential equations. A numerical illustration is given to show the effectiveness and feasibility of the proposed approach.

Suggested Citation

  • John Robinson P. & Jeeva S, 2019. "Intuitionistic Trapezoidal Fuzzy MAGDM Problems with Sumudu Transform in Numerical Methods," International Journal of Fuzzy System Applications (IJFSA), IGI Global, vol. 8(3), pages 1-46, July.
    • Handle: RePEc:igg:jfsa00:v:8:y:2019:i:3:p:1-46
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