التفاصيل البيبلوغرافية
| العنوان: |
A Fuzzy Optimization Technique for Multi-Objective Aspirational Level Fractional Transportation Problem. |
| المؤلفون: |
Sharma, Mukesh Kumar1 (AUTHOR) mukeshkumarsharma@ccsuniversity.ac.in, Kamini1 (AUTHOR) kaminivarun123@gmail.com, Dhiman, Nitesh1 (AUTHOR) niteshdhiman91@gmail.com, Mishra, Vishnu Narayan2 (AUTHOR) vnm@igntu.ac.in, Rosales, Hamurabi Gamboa3 (AUTHOR) hamurabigr@gmail.com, Dhaka, Arvind4 (AUTHOR) amita.nandal@jaipur.manipal.edu, Nandal, Amita4 (AUTHOR), Fernández, Edgar González3 (AUTHOR) edgar.gonzalezf@infotec.mx, Ramirez-delReal, Tania A.5 (AUTHOR) tramirez@centrogeo.edu.mx, Mishra, Lakshmi Narayan6 (AUTHOR) lakshminarayan.mishra@vit.ac.in |
| المصدر: |
Symmetry (20738994). Aug2021, Vol. 13 Issue 8, p1465. 1p. |
| مصطلحات موضوعية: |
*MATHEMATICAL optimization, *LEVEL of aspiration, *ALGORITHMS, *MATHEMATICAL functions, *SOFT computing, *EVOLUTIONARY algorithms |
| مستخلص: |
In this research work, a soft computing optimization operating approach is developed for a multi-objective aspirational level fractional transportation problem. In the proposed technique, a mathematical model is formulated for the multi-objective aspirational level fractional transportation problem (MOFTP) based on the highest value of one and all objectives of the model. We also used the symmetry concept over our model to identify the best optimum solution based on symmetrical data. We constructed the membership grades for the set of fetched parameters having symmetry. In this work, we also used the concept of ranking function in our mathematical model to obtain the optimum solution of the fuzzy multi-objective fractional transportation. In this proposed algorithm, the aspiration levels are also associated with the objective function of MOFTP. We are also proposing a new approach for the optimization of fractional problems in which the objectives are being optimized by using the numerator function and denominator function simultaneously. Further, a methodology is also developed to find the average cost for each fractional objective of the model. After that, we will find the ranking function for each parameter by using the defuzzification method. By this methodology, we will be able to convert the MOFTP into a bi-objective transportation problem. The provided technique is elaborated with the help of numerical computations to prove the beauty and power of the proposed technique. [ABSTRACT FROM AUTHOR] |
| قاعدة البيانات: |
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