Decision Making With Unknown Criteria Weight Information in the Frame Work of Interval Valued Trapezoidal Intuitionistic Fuzzy Sets
Sireesha V1, Himabindu K2
1SireeshaV, Department of Applied Mathematics, GITAM Institute of Science, GITAM, Visakhapatnam, India.
2Himabindu K, Department of Applied Mathematics, GITAM Institute of Science, GITAM, Visakhapatnam, India.
Manuscript received on October 11, 2019. | Revised Manuscript received on 23 October, 2019. | Manuscript published on November 10, 2019. | PP: 4424-4429 | Volume-9 Issue-1, November 2019. | Retrieval Number: A5217119119/2019©BEIESP | DOI: 10.35940/ijitee.A5217.119119
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© The Authors. Blue Eyes Intelligence Engineering and Sciences Publication (BEIESP). This is an open access article under the CC-BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/)
Abstract: This paper proposes an interval valued trapezoidal intuitionistic fuzzy (IVTIF) decision making model for multi criteria group decision making (MCGDM) problem by taking into consideration that the criteria weights of each decision maker may differ with respect to each other when criteria weights are unknown prior. In this process, a new method to find the criteria weight based on alternatives performance and Einstein weighted averaging operator on IVTIFSs is defined. Further, the properties of interval valued trapezoidal intuitionistic fuzzy Einstein weighted averaging (IVITFEWA) operator are proved. The proposed method is illustrated by taking a numerical example. From the results it is observed that the proposed method can effectively rank the alternatives compared to existing methods.
Keywords: Interval Valued Trapezoidal Intuitionistic Fuzzy set, Multi Criteria Group Decision Making (MCGDM), Unknown Criteria Weights, Interval Valued Intuitionistic Trapezoidal Fuzzy Einstein Weighted Arithmetic Averaging Operator (IVITFEWAA)
Scope of the Article: Fuzzy Logics