Open AccessConvex optimization of interval valued functions on mixed domains
Author(s) -
Awais Younus,
O. Nisar
Publication year - 2019
Publication title -
filomat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 34
eISSN - 2406-0933
pISSN - 0354-5180
DOI - 10.2298/fil1906715y
Subject(s) - mathematics , convexity , interval (graph theory) , differentiable function , class (philosophy) , regular polygon , type (biology) , convex optimization , convex function , product (mathematics) , domain (mathematical analysis) , mathematical optimization , pure mathematics , discrete mathematics , combinatorics , mathematical analysis , ecology , geometry , artificial intelligence , computer science , financial economics , economics , biology
In this paper, we study a class of convex type interval-valued functions on the domain of the product of closed subsets of real numbers. By considering LW order relation on the class of closed intervals, we proposed some optimal solutions. LW convexity concepts and generalized Hukuhara differentiability (viz. delta and nabla) for interval-valued functions yield the necessary and sufficient conditions for interval programming problem. In addition, we compare our results with the results given in the literature. These results may open a new avenue for modeling and solve a different type of optimization problems that involve both discrete and continuous variables at the same time.