Open AccessMulti‐objective linear fractional inventory model with possibility and necessity constraints under generalised intuitionistic fuzzy set environment
Author(s) -
Garai Totan,
Garg Harish
Publication year - 2019
Publication title -
caai transactions on intelligence technology
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.613
H-Index - 15
ISSN - 2468-2322
DOI - 10.1049/trit.2019.0030
Subject(s) - mathematics , mathematical optimization , fuzzy logic , set (abstract data type) , sensitivity (control systems) , fuzzy set , fractional programming , fuzzy number , linear programming , computer science , nonlinear programming , artificial intelligence , engineering , nonlinear system , physics , quantum mechanics , electronic engineering , programming language
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.