Construction of intuitionistic fuzzy relations with predetermined properties (Q1971892)

The paper is a continuation of the author's research in the area of Intuitionistic Fuzzy Sets (IFSs) [\textit{K. Atanassov}, Fuzzy Sets Syst. 20, 87-96 (1986; Zbl 0631.03040)] and especially on the Intuitionistic Fuzzy Relations (IFRs) (see, e.g., Zbl 0862.04006, Zbl 0871.04006, Zbl 0872.94061, Zbl 0874.04003, Zbl 0903.04001 and others). Here for the first time the possibility of constructing IFRs with Predetermined Properties (IFRPP) are discussed. The basic properties the IFRPPs are studied. Theorems for constructing reflexive, symmetric, antisymmetric, perfect antisymmetric, transitive and partially included IFRs from fuzzy relations are formulated and proved.