@Article{csse.2021.015451,
AUTHOR = {Md Sadikur Rahman, Emad E. Mahmoud, Ali Akbar Shaikh, Abdel-Haleem Abdel-Aty, Asoke Kumar Bhunia},
TITLE = {Saddle Point Optimality Criteria of Interval Valued Non-Linear Programming Problem},
JOURNAL = {Computer Systems Science and Engineering},
VOLUME = {38},
YEAR = {2021},
NUMBER = {3},
PAGES = {351--364},
URL = {http://www.techscience.com/csse/v38n3/42576},
ISSN = {},
ABSTRACT = {The present paper aims to develop the Kuhn-Tucker and Fritz John criteria for saddle point optimality of interval-valued nonlinear programming problem. To achieve the study objective, we have proposed the definition of minimizer and maximizer of an interval-valued non-linear programming problem. Also, we have introduced the interval-valued Fritz-John and Kuhn Tucker saddle point problems. After that, we have established both the necessary and sufficient optimality conditions of an interval-valued non-linear minimization problem. Next, we have shown that both the saddle point conditions (Fritz-John and Kuhn-Tucker) are sufficient without any convexity requirements. Then with the convexity requirements, we have established that these saddle point optimality criteria are the necessary conditions for optimality of an interval-valued non-linear programming with real-valued constraints. Here, all the results are derived with the help of interval order relations. Finally, we illustrate all the results with the help of a numerical example.},
DOI = {10.32604/csse.2021.015451}
}