Paper Info
Title
Solving Bi-Level Multi-Objective Transportation Problem Under Fuzziness
Abstract
This paper describes a study on bi-level multi-objective transportation problem in fuzzy environment. To alleviate a difficulty of transporting goods within nodes for long distances, we venture to formulate a transportation problem using bi-level criteria. Again, in this paper, we incorporate the real-life uncertain situation in bi-level transportation system through fuzziness. It produces a new class of transportation problem, namely fuzzy bi-level multi-objective transportation problem (FBMOTP). We solve FBMOTP with and without priority of the 1st level of transportation problem (TP) using the Vogal Approximation Method (VAM) which are called respectively Approach 1 and Approach 2. A special emphasis of this paper is to introduce a new approach namely Approach 3 for solving the FBMOTP in addition to the considered two approaches. In this regard, we incorporate an algorithm for Approach 3 to find compromise solution of the FBMOTP using VAM. Thereafter, the proposed algorithm is illustrated to show the usefulness by taking a numerical example. A comparative analysis with the existing studies is provided to understand the effectiveness of the proposed methodology. At last, conclusions are described with the lines of future study of the paper.
Year
DOI
Venue
2021
10.1142/S0218488521500185
INTERNATIONAL JOURNAL OF UNCERTAINTY FUZZINESS AND KNOWLEDGE-BASED SYSTEMS
Keywords
DocType
Volume
Transportation problem, bi-level programming, vogal approximation method, multi-objective decision making, fuzzy programming, compromise solution
Journal
29
Issue
ISSN
Citations 
03
0218-4885
0
PageRank 
References 
Authors
0.34
0
3
Name
Order
Citations
PageRank
Dharmadas Mardanya100.34
Gurupada Maity2303.22
Sankar Kumar Roy310414.63