A 4-dimensional multi goal transportation framework in the decomposed fuzzy configuration  : 4-D MGT in DCF

Mukesh Kumar Sharma; Kailash Dhanuk; Sadhna  Chaudhary

doi:10.5269/bspm.78252

Auteurs-es

Mukesh Kumar Sharma Department of Mathematics, Chaudhary Charan Singh University, Meerut Uttar Pradesh-250004, India
Kailash Dhanuk Department of Mathematics, Chaudhary Charan Singh University, Meerut-250004, India 2Department of Mathematics, Dyal Singh College (University of Delhi), New Delhi-110003, India https://orcid.org/0009-0000-3286-1188
Sadhna Chaudhary Department of Mathematics, Chaudhary Charan Singh University, Meerut-250004, India https://orcid.org/0000-0003-1255-0395

DOI :

https://doi.org/10.5269/bspm.78252

Résumé

Decomposed Fuzzy Sets (DFS), a recent advancement of Intuitionistic Fuzzy Sets, extend the traditional framework by integrating functional and dysfunctional viewpoints into the formulation of membership and non-membership functions. This article first introduces a score index for the ranking and defuzzification of DFS. Thereafter, a multi goal transportation framework in 4-dimensions under DFS configuration is formulated. The proposed framework aims to optimize overall transportation cost and travel time. In order to deal with the proposed 4-dimensional transportation network, fuzzy programming and devised score index is employed. A numerical computation accomplished to elaborate the efficiency of devised model in the real-world transportation systems.

Biographies de l'auteur-e

Kailash Dhanuk, Department of Mathematics, Chaudhary Charan Singh University, Meerut-250004, India 2Department of Mathematics, Dyal Singh College (University of Delhi), New Delhi-110003, India

Mr. Kailash Dhanukis a research scholar with research focus optimization in fuzzy set theory with multiple goals at Chaudhary Charan Singh University, Meerut. He is working as an assistant professor at Dyal Singh College, Universoty of Delhi, Delhi and currently pursuing her Ph.D. in department of mathematics, Chaudhary Charan Singh University, Meerut. He has published three research article in Results in Engineering and Advances in Fuzzy Systems and system and soft computing.
Sadhna Chaudhary, Department of Mathematics, Chaudhary Charan Singh University, Meerut-250004, India

Sadhna Chaudhary is a research scholar with research focus optimization in fuzzy set theory with multiple goals at Chaudhary Charan Singh University, Meerut. She received her M.Sc. and M.Phil degree in Mathematics from Chaudhary Charan Singh, Meerut and currently pursuing her Ph.D. in department of mathematics, Chaudhary Charan Singh University, Meerut. She has published more than 11 research article in various reputed journals.