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Value- and Ambiguity-Based Approach for Solving Intuitionistic Fuzzy Transportation Problem with Total Quantity Discounts and Incremental Quantity Discounts
Joint Authors
Veeramani, C.
Robinson, M. Joseph
Vasanthi, S.
Source
Mathematical Problems in Engineering
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-21, 21 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-12-30
Country of Publication
Egypt
No. of Pages
21
Main Subjects
Abstract EN
The cost of goods per unit transported from the source to the destination is considered to be fixed regardless of the number of units transported.
But, in reality, the cost is often not fixed.
Quantity discount is often allowed for large shipments.
Furthermore, the transportation cost and the price break quantities are not deterministic.
In this study, we introduce the concept of Value- and Ambiguity-based approach for solving the intuitionistic fuzzy transportation problem with total quantity discounts and incremental quantity discounts.
Here, the cost and quantity price breakpoints are represented by trapezoidal intuitionistic fuzzy numbers.
The Values and Ambiguities are defined as the degree of acceptance and rejection for trapezoidal intuitionistic fuzzy numbers.
The trapezoidal intuitionistic fuzzy transportation problem is converted to a parametric transportation problem based on their Value indices and Ambiguity indices.
Then, for different Values of the parameter, the transformed problem is reduced to the linear programming problem.
Then, the linear programming problem is solved by using the classical methods.
The proposed method is demonstrated with a numerical example.
In conclusion, the intuitionistic fuzzy transportation problem with total quantity discounts is compared with the intuitionistic fuzzy transportation problem with incremental quantity discounts.
American Psychological Association (APA)
Veeramani, C.& Robinson, M. Joseph& Vasanthi, S.. 2020. Value- and Ambiguity-Based Approach for Solving Intuitionistic Fuzzy Transportation Problem with Total Quantity Discounts and Incremental Quantity Discounts. Mathematical Problems in Engineering،Vol. 2020, no. 2020, pp.1-21.
https://search.emarefa.net/detail/BIM-1201851
Modern Language Association (MLA)
Veeramani, C.…[et al.]. Value- and Ambiguity-Based Approach for Solving Intuitionistic Fuzzy Transportation Problem with Total Quantity Discounts and Incremental Quantity Discounts. Mathematical Problems in Engineering No. 2020 (2020), pp.1-21.
https://search.emarefa.net/detail/BIM-1201851
American Medical Association (AMA)
Veeramani, C.& Robinson, M. Joseph& Vasanthi, S.. Value- and Ambiguity-Based Approach for Solving Intuitionistic Fuzzy Transportation Problem with Total Quantity Discounts and Incremental Quantity Discounts. Mathematical Problems in Engineering. 2020. Vol. 2020, no. 2020, pp.1-21.
https://search.emarefa.net/detail/BIM-1201851
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1201851