Multi‐objective linear fractional inventory model with possibility and necessity constraints under generalised intuitionistic fuzzy set environment. Issue 3 (20th August 2019)

• Record Type: Journal Article
• Authors: Garai, Totan; Garg, Harish
• Is Part Of: CAAI transactions on intelligence technology. Volume 4:Issue 3(2019)
• Page Start: 175
• Page End: 181
• Publication Date: 2019-08-20
• Subjects: 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; C1160 Combinatorial mathematics -- C1180 Optimisation techniques -- C1290F Systems theory applications in industry -- E0210E Combinatorial mathematics -- E0210G Optimisation -- E1010 Production management -- E1540 Systems theory applications; Artificial intelligence -- Periodicals; Computer science -- Periodicals; Artificial intelligence; Computer science; Electronic journals; Periodicals; 006.305
• DOI: 10.1049/trit.2019.0030
• Languages: English
• ISSNs: 2468-6557

Abstract

Abstract : 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.