A new approach for solving intuitionistic fuzzy transportation problem of type-2

被引:52
作者
Singh, Sujeet Kumar [1 ]
Yadav, Shiv Prasad [1 ]
机构
[1] Indian Inst Technol Roorkee, Dept Math, Roorkee 247667, Uttar Pradesh, India
关键词
Triangular intuitionistic fuzzy number; Accuracy function; Intuitionistic fuzzy transportation problem of type-2; Optimal solution;
D O I
10.1007/s10479-014-1724-1
中图分类号
C93 [管理学]; O22 [运筹学];
学科分类号
070105 ; 12 ; 1201 ; 1202 ; 120202 ;
摘要
In solving real life transportation problem, we often face the state of uncertainty as well as hesitation due to various uncontrollable factors. To deal with uncertainty and hesitation many authors have suggested the intuitionistic fuzzy representation for the data. In this paper, we formulate a transportation problem in which costs are triangular intuitionistic fuzzy numbers. We have defined accuracy function using score functions for membership and non membership functions of triangular intuitionistic fuzzy numbers. Then ordering of triangular intuitionistic fuzzy numbers using accuracy function has been proposed. We have utilized this ordering to develop methods for finding starting basic feasible solution in terms of triangular intuitionistic fuzzy numbers. Also the same ordering is utilized to develop intuitionistic fuzzy modified distribution method for finding the optimal solution. Finally the method is illustrated by a numerical example which is followed by graphical representation and discussion of the finding.
引用
收藏
页码:349 / 363
页数:15
相关论文
共 49 条
[41]   Solving Intuitionistic Fuzzy Linear Programming Problems Using Singularly Perturbed Differential Equations Of Reaction-Diffusion Type [J].
Asha, S. ;
Paramasivam, M. Joseph .
JOURNAL OF ALGEBRAIC STATISTICS, 2022, 13 (02) :1044-1048
[42]   A multi-objective transportation problem under quantity dependent credit period and cost structure policies in triangular intuitionistic fuzzy environment [J].
Bera, Raj Kumar ;
Mondal, Shyamal Kumar .
ENGINEERING APPLICATIONS OF ARTIFICIAL INTELLIGENCE, 2023, 123
[43]   A new ranking approach for interval valued intuitionistic fuzzy sets and its application in decision making [J].
Talukdar P. ;
Dutta P. .
International Journal of Fuzzy System Applications, 2019, 8 (02) :89-104
[44]   A Unique Conversion Approach Clubbed with a New Ranking Technique to Optimize Fuzzy Transportation Cost [J].
Bisht, Dinesh ;
Srivastava, Pankaj Kumar .
ADVANCEMENT IN MATHEMATICAL SCIENCES, 2017, 1897
[45]   Improved Segregated Advancement (I-SA): a new method for solving full triangular fuzzy transportation problems [J].
Sam'An, Muhammad ;
Dasril, Yosza ;
Ramasamy, Chandrasekar ;
Bujang, Nazarudin ;
Ifriza, Yahya Nur .
INTERNATIONAL JOURNAL OF MANAGEMENT SCIENCE AND ENGINEERING MANAGEMENT, 2023, 18 (01) :65-75
[46]   Improved total difference method (ITDM): a new approach to solving transportation problem based on modifications of total difference method 1 and integration of total ratio cost matrix [J].
Sam'an, Muhammad ;
Dasril, Yosza ;
Bin Bujang, Nazarudin ;
Farikhin .
INTERNATIONAL JOURNAL OF COMPUTING SCIENCE AND MATHEMATICS, 2022, 16 (01) :13-23
[47]   New Ranking Functions for Interval-Valued Intuitionistic Fuzzy Sets and Their Application to Multi-Criteria Decision-Making Problem [J].
Kokoc, Melda ;
Ersoz, Suleyman .
CYBERNETICS AND INFORMATION TECHNOLOGIES, 2021, 21 (01) :3-18
[48]   Total opportunity cost matrix - Minimal total: A new approach to determine initial basic feasible solution of a transportation problem [J].
Amaliah, Bilqis ;
Fatichah, Chastine ;
Suryani, Erma .
EGYPTIAN INFORMATICS JOURNAL, 2019, 20 (02) :131-141
[49]   An extended Pythagorean fuzzy complex proportional assessment approach with new entropy and score function: Application in pharmacological therapy selection for type 2 diabetes [J].
Rani, Pratibha ;
Mishra, Arunodaya Raj ;
Mardani, Abbas .
APPLIED SOFT COMPUTING, 2020, 94