Abstract
This study addresses intuitionistic fuzzy multi-objective linear programming problems using triangular intuitionistic fuzzy numbers with mixed constraints. We convert the problem into single objective fuzzy programming problem. Then using different types of membership functions (linear and nonlinear), we transform the problem into crisp linear/non-linear programming problem, which is solved by suitable crisp programming approaches. The methodology is demonstrated with the help of a numerical example and the usefulness of various membership functions is discussed.
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The authors gratefully acknowledge the financial support given by the Ministry of Human Resource and Development (MHRD), Govt. of India, India. Also the authors would like to thank the anonymous reviewers for making critical and conceptual comments, which helped to improve the manuscript in the present form.
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Singh, S.K., Yadav, S.P. Intuitionistic fuzzy multi-objective linear programming problem with various membership functions. Ann Oper Res 269, 693–707 (2018). https://doi.org/10.1007/s10479-017-2551-y
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DOI: https://doi.org/10.1007/s10479-017-2551-y