Open AccessThe Edgeworth-Pareto principle in the case of IT2F preference relation
Author(s) -
O. V. Baskov,
V. D. Noghin
Publication year - 2021
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 - 10.1088/1742-6596/1801/1/012021
Subject(s) - preference relation , relation (database) , pareto principle , preference , mathematics , set (abstract data type) , mathematical economics , mathematical optimization , axiom , decision maker , interval (graph theory) , fuzzy logic , fuzzy set , computer science , operations research , artificial intelligence , combinatorics , statistics , data mining , programming language , geometry
The multicriteria choice problem is considered, which includes a set of feasible alternatives, a vector criterion defined on this set and a fuzzy preference relation of the decision maker. It is assumed that this relation is an interval type-2 fuzzy relation. For this problem, a set of nondominated alternatives is introduced, certain axioms of reasonable behavior of a decision maker in the decision-making process are formulated, and the Edgeworth-Pareto principle is established, according to which the best choice should be made only within the Pareto set.