Multi-objective linear fractional inventory model with possibility and necessity constraints under generalised intuitionistic fuzzy set environment

CAAI Transactions on Intelligence Technology

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[1] Department of Mathematics, Silda Chandra Sekhar College, Jhargram-721515, West Bengal, India;School of Mathematics, Thapar Institute of Engineering & Technology, Deemed University, Patiala-147004, Punjab, India;

关键词: decision making;    sensitivity analysis;    linear programming;    fuzzy set theory;    number theory;    possibility theory;    inventory management;    multiobjective linear fractional inventory model;    necessity constraints;    generalised intuitionistic fuzzy set environment;    multiobjective linear fractional inventory problem;    generalised trapezoidal intuitionistic fuzzy numbers;    equivalent deterministic linear fractional programming problem;    sensitivity analysis;   

DOI  :  10.1049/trit.2019.0030

来源: publisher

【 摘 要 】

This study presented a multi-objective linear fractional inventory (LFI) problem with generalised intuitionistic fuzzy numbers. In modelling, the authors have assumed the ambiances where generalised trapezoidal intuitionistic fuzzy numbers (GTIFNs) used to handle the uncertain information in the data. Then, the given multi-objective generalised intuitionistic fuzzy LFI model was transformed into its equivalent deterministic linear fractional programming problem by employing the possibility and necessity measures. Finally, the applicability of the model is demonstrated with a numerical example and the sensitivity analysis under several parameters is investigated to explore the study.

【 授权许可】

CC BY