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Transportation Problem for Interval Valued Trapezoidal Intuitionistic Fuzzy Numbers
Manivannan Annamalai,J. Jansi Rani,S. Dhanasekar 한국지능시스템학회 2022 INTERNATIONAL JOURNAL of FUZZY LOGIC and INTELLIGE Vol.22 No.2
The aim of the decision-makers in the transportation industry is to maximize profit by minimizing the transportation cost. The transportation structure is the center of economic activity inthe business logistics system. However, transportation costs may vary owing to various unpredictable factors. In this study, cost of the transporting unit is considered as an interval valuedtrapezoidal intuitionistic fuzzy number to deal with these uncertainties. The transportationproblem with interval-valued trapezoidal intuitionistic fuzzy cost is discussed here, and thecosts are ordered by score and score expected functions. As a special case, the interval-valuedtrapezoidal intuitionistic cost is not converted into crisp numbers to solve the transportationproblem and derive the initial basic feasible (IBF) solution through interval-valued intuitionistic costs. Furthermore, the optimality of the derived initial basic feasible solution is checkedusing the modified distribution (MODI) method. The effectiveness and validation of thedeveloped approach were illustrated using numerical examples.