Multi-objective fixed-charge solid transportation problem with product blending under intuitionistic fuzzy environment

被引:0
作者
Sankar Kumar Roy
Sudipta Midya
机构
[1] Vidyasagar University,Department of Applied Mathematics with Oceanology and Computer Programming
来源
Applied Intelligence | 2019年 / 49卷
关键词
Fixed-charge solid transportation problem; Product blending; Multi-objective optimization; Intuitionistic fuzzy programming; Ranking method; Intuitionistic fuzzy TOPSIS;
D O I
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中图分类号
学科分类号
摘要
This paper analyzes multi-objective fixed-charge solid transportation problem with product blending in intuitionistic fuzzy environment. The parameters of multi-objective fixed-charge solid transportation problem may not be defined precisely because of globalization of the market and other unmanageable factors. So, we often hesitate in prediction of market demand and other parameters connected with transporting systems in a period. Based on these facts, the parameters of the formulated model are chosen as triangular intuitionistic fuzzy number. New ranking method is used to convert intuitionistic fuzzy multi-objective fixed-charge solid transportation problem with product blending to a deterministic form. New intuitionistic fuzzy technique for order preference by similarity to ideal solution (TOPSIS) is initiated to derive Pareto-optimal solution from the proposed model. Furthermore, we solve the formulated model using intuitionistic fuzzy programming; and a comparison is drawn between the obtained solutions extracted from the approaches. Finally, a practical (industrial) problem is incorporated to illustrate the applicability and feasibility of the proposed study. Conclusions with future research based on the paper are described at last.
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页码:3524 / 3538
页数:14
相关论文
共 111 条
[1]  
Abo-Sinna MA(2008)Extension of TOPSIS for large scale multi-objective non-linear programming problems with block angular structure Appl Math Model 32 292-302
[2]  
Amer AH(2016)Solving intuitionistic fuzzy solid transportation problem via new ranking method based on signed distance, International Journal of Uncertainty Fuzziness Knowl-Based Syst 24 483-501
[3]  
Ibrahim AS(1997)Optimization in an intuitionistic fuzzy environments Fuzzy Sets Syst 86 299-306
[4]  
Aggarwal S(1986)Intuitionistic fuzzy sets Fuzzy Sets Syst 20 87-96
[5]  
Gupta C(2009)A multi-criteria intuitionistic fuzzy group decision making for supplier selection with TOPSIS method Expert Syst Appl 36 11363-11368
[6]  
Angelov PP(2018)Fuzzy group decision making with incomplete information guided by social influence IEEE Trans Fuzzy Syst 26 1704-1718
[7]  
Atanassov KT(2008)The interval-valued fuzzy TOPSIS method and experimental analysis Fuzzy Sets Syst 159 1410-1428
[8]  
Boran FE(2016)A centroid-based ranking method of trapezoidal intuitionistic fuzzy numbers and its application to MCDM problems Fuzzy Inf Eng 8 41-74
[9]  
Gen S(1962)The solid transportation problen Oper Res 10 448-463
[10]  
Kurt M(2018)A Dynamic weight determination approach based on the intuitionistic fuzzy bayesian network and its application to emergency decision making IEEE Trans Fuzzy Syst 26 1893-1907