Generalization of equitable efficiency in multiobjective optimization problems by the direct sum of matrices
Publish Year: 1402
نوع سند: مقاله ژورنالی
زبان: English
View: 119
This Paper With 22 Page And PDF Format Ready To Download
- Certificate
- من نویسنده این مقاله هستم
استخراج به نرم افزارهای پژوهشی:
شناسه ملی سند علمی:
JR_IJNAO-13-1_005
تاریخ نمایه سازی: 29 فروردین 1402
Abstract:
We suggest an a priori method by introducing the concept of AP - equitable efficiency. The preferences matrix AP , which is based on the partition P of the index set of the objective functions, is given by the decision-maker. We state the certain conditions on the matrix AP that guarantee the preference relation ⪯eAP to satisfy the strict monotonicity and strict P -transfer principle axioms. A problem most frequently encountered in multiobjective optimization is that the set of Pareto optimal solutions provided by the optimization pro-cess is a large set. Hence, the decision-making based on selecting a unique preferred solution becomes difficult. Considering models with Ar P -equitable efficiency and A∞ P -equitable efficiency can help the decision-maker for over-coming this difficulty, by shrinking the solution set.
Authors
F. Ahmadi
Department of Mathematics, Vali-e-Asr University of Rafsanjan, Rafsanjan, Iran.
A. R. Salajegheh
Department of Mathematics, Vali-e-Asr University of Rafsanjan, Rafsanjan, Iran.
D. Foroutannia
Department of Mathematics, Vali-e-Asr University of Rafsanjan, Rafsanjan, Iran.
مراجع و منابع این Paper:
لیست زیر مراجع و منابع استفاده شده در این Paper را نمایش می دهد. این مراجع به صورت کاملا ماشینی و بر اساس هوش مصنوعی استخراج شده اند و لذا ممکن است دارای اشکالاتی باشند که به مرور زمان دقت استخراج این محتوا افزایش می یابد. مراجعی که مقالات مربوط به آنها در سیویلیکا نمایه شده و پیدا شده اند، به خود Paper لینک شده اند :