A New Weighted Goal Programming Technique to Solve Fully Triangular Intuitionistic Fuzzy Multi-Objective Fixed Charge Solid Transportation Problem

Fuzzy Optimization and Modeling Journal

مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 16 شهریور 1402

نوع مقاله: Original Article

شناسه دیجیتال (DOI): 10.30495/fomj.2023.1991385.1103

نویسندگان

Awdhesh Kumar Bind¹؛ Deepika Rani^{* 2}؛ Kapil Kumar Goyal³

¹Dr B R Ambedkar National Institute of Technology, Jalandhar Punjab (INDIA)

²Department of Mathematics Dr. B. R. Ambedkar National Institute of Technology, Jalandhar

³Dr. B R Ambedkar National Institute of Technology, Jalandhar, Punjab (INDIA)

چکیده

Modern society depends substantially on transport because it allows for mobility and the movement of goods. However, it also has numerous negative effects on the environment and makes a major contribution to carbon emissions. Different vehicles use a variety of fuels to transmit energy in transportation systems. For energy communication, vehicles emit greenhouse gases that pollute the environment. Also, the parameters in transportation problems are not always precisely define rather are imprecise in nature in most cases. Recalling this fact, this paper explores the study of a multi-objective fully intuitionistic fuzzy fixed charge solid transportation problem considering carbon emission as an objective function. A new solution algorithm is developed to obtain the compromised optimal solution of the proposed model.

Solved the proposed transportation problem models by using LINGO.19.0 optimization software and obtained the crisp as well as fuzzy objective values.

A real-life-based numerical problem is presented and solved to validate the concept and the results are compared with other existing methods.

کلیدواژه‌ها

Transportation problem؛ Multi-objective Fuzzy Optimization؛ Fixed charge؛ Carbon emission؛ Weighted goal programming