Paper Info
Title
Development and optimization of unrestricted LR-type intuitionistic fuzzy mathematical programming problems.
Abstract
We have defined the score and accuracy indices of LR-type IFNs.We have derived some results based on these indices.The product of unrestricted LR-type IFNs using , & (, )-cuts have been defined.A new method for unrestricted LR-type fully IFPPs have been proposed.An illustrative example is given to support the proposed method. To the best of our knowledge, there is no method to find the product of unrestricted LR-type intuitionistic fuzzy numbers (IFNs) as well as the optimal solutions of LR-type intuitionistic fuzzy linear programming problems (IFLPPs) in which some or all the decision variables are unrestricted. Therefore it is necessary to pay attention to this issue and there is need to find the product of unrestricted LR-type IFNs as well as the optimal solutions of such programming problems. In this paper, the product of unrestricted LR-type IFNs based on the -cut, -cut and (, )-cut is proposed. Then with the help of proposed product, a new method is proposed to find the optimal solutions of unrestricted LR-type IFLPPs. Finally, an illustrative example is given to support the proposed method and investigated the applicability of existing approaches exist in the literature.
Year
DOI
Venue
2017
10.1016/j.eswa.2017.03.015
Expert Syst. Appl.
Keywords
Field
DocType
Intuitionistic fuzzy number,LR-Type intuitionistic fuzzy number,Score function,Accuracy function,Score index,Accuracy index
Decision variables,Mathematical optimization,Fuzzy linear programming,Computer science,Algorithm,Artificial intelligence,Accuracy function,Score,Fuzzy number,Machine learning,Fuzzy mathematical programming
Journal
Volume
Issue
ISSN
80
C
0957-4174
Citations 
PageRank 
References 
5
0.41
16
Authors
2
Name
Order
Citations
PageRank
Vishnu Singh171.79
Shiv Prasad Yadav211715.90