Title of article :
Max-Min averaging operator: fuzzy inequality systems and resolution
Author/Authors :
Ghodousian, Amin Faculty of Engineering Science - College of Engineering - University of Tehran, Tehran , Azarnejad, Tarane Department of Algorithms and Computation - Unversity of Tehran , Samie, Farnood Department of Algorithms and Computation - Unversity of Tehran
Abstract :
Minimum and maximum operators are two wellknown
t-norm and s-norm used frequently in fuzzy
systems. In this paper, two different types of fuzzy inequalities
are simultaneously studied where the convex
combination of minimum and maximum operators
is applied as the fuzzy relational composition.
Some basic properties and theoretical aspects of the
problem are derived and four necessary and sufficient
conditions are presented. Moreover, an algorithm is
proposed to solve the problem and an example is described
to illustrate the algorithm.
Keywords :
Fuzzy relation , fuzzy relational inequality , fuzzy compositions and fuzzy averaging operator
Journal title :
Astroparticle Physics
