Open AccessNew Farkas-type inequalities of mixed interval systems for AE solvability
Author(s) -
Mengxue Xia,
Haohao Li
Publication year - 2020
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1592/1/012082
Subject(s) - mathematics , inequality , interval (graph theory) , type (biology) , linear inequality , calculus (dental) , algebra over a field , discrete mathematics , pure mathematics , combinatorics , mathematical analysis , ecology , biology , medicine , dentistry
Interval Farkas type inequality is an important tool to prove the optimality condition of interval optimization model. This research gives a Farkas-type inequality for AE solvability of a specific mixed interval linear system including both equality and inequality by using logical quantifiers. Some Farkas-type inequalities for different solvability established in previous literatures are special cases of the main result of this paper.