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A multi-item multi-objective inventory model in exponential fuzzy environment using chance-operator techniques

A multi-item multi-objective inventory model in exponential fuzzy environment using... In recent times exponential fuzzy variable plays a vital role in optimization prob- lem because the linear membership function is not a suitable representation under several practical situations   (Computers and Mathematics with Application 22:55– 60, 1991; Journal of Experimental Psychology 105:254–276, 1976). In this paper, we have considered possibility, necessity and credibility measures of an exponen- tial fuzzy variable. Here we have a formulated multi-item multi-objective inventory model with stock dependent demand with exponential fuzzy variables. Solution methodology of those models using chance operator has been discussed. Global cri- terion method and convex combination method are applied to derive optimal com- promise solutions of the given model. To show the validity of the proposed models, few sensitive analysis are also presented under the different parameter. A numerical example is presented to illustrate the proposed models. Keywords Exponential fuzzy variable · Chance-operator · Multi-items · Multi- objective · Stock dependent demand Mathematics Subject Classification 90B05 · 90B60 * Totan Garai garaitotan@gmail.com Dipankar Chakraborty dipankar1920@gmail.com Tapan Kumar Roy roy_t_k@yahoo.co.in Department of Mathematics, Indian Institute of Engineering Science and Technology, Shibpur, Howrah, West Bengal 711103, India Department of Mathematics, Heritage Institute of Technology, Anandapur, Kolkata, West Bengal 700107, India Vol.:(0123456789) 1 3 T. Garai et al. 1 Introduction Uncertainty is common in real-life problems for example http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png The Journal of Analysis Springer Journals

A multi-item multi-objective inventory model in exponential fuzzy environment using chance-operator techniques

The Journal of Analysis , Volume OnlineFirst – Nov 30, 2018

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Publisher
Springer Journals
Copyright
Copyright © 2018 by Forum D'Analystes, Chennai
Subject
Mathematics; Analysis; Functional Analysis; Abstract Harmonic Analysis; Special Functions; Fourier Analysis; Measure and Integration
ISSN
0971-3611
eISSN
2367-2501
DOI
10.1007/s41478-018-0152-z
Publisher site
See Article on Publisher Site

Abstract

In recent times exponential fuzzy variable plays a vital role in optimization prob- lem because the linear membership function is not a suitable representation under several practical situations   (Computers and Mathematics with Application 22:55– 60, 1991; Journal of Experimental Psychology 105:254–276, 1976). In this paper, we have considered possibility, necessity and credibility measures of an exponen- tial fuzzy variable. Here we have a formulated multi-item multi-objective inventory model with stock dependent demand with exponential fuzzy variables. Solution methodology of those models using chance operator has been discussed. Global cri- terion method and convex combination method are applied to derive optimal com- promise solutions of the given model. To show the validity of the proposed models, few sensitive analysis are also presented under the different parameter. A numerical example is presented to illustrate the proposed models. Keywords Exponential fuzzy variable · Chance-operator · Multi-items · Multi- objective · Stock dependent demand Mathematics Subject Classification 90B05 · 90B60 * Totan Garai garaitotan@gmail.com Dipankar Chakraborty dipankar1920@gmail.com Tapan Kumar Roy roy_t_k@yahoo.co.in Department of Mathematics, Indian Institute of Engineering Science and Technology, Shibpur, Howrah, West Bengal 711103, India Department of Mathematics, Heritage Institute of Technology, Anandapur, Kolkata, West Bengal 700107, India Vol.:(0123456789) 1 3 T. Garai et al. 1 Introduction Uncertainty is common in real-life problems for example

Journal

The Journal of AnalysisSpringer Journals

Published: Nov 30, 2018

References