Mathematical Models of Diagnostic Information Granules Generated by Scaling Intuitionistic Fuzzy Sets

The paper presents a certain class of the mathematical models diagnostic information granules describing fuzzy symptoms-faults relationship. A retrieval system is described as an application expert system. Symptoms and faults are fuzzy, with some scaling symptom-fault concept pair values. These value pairs can be considered intuitionistic sets for space diagnosed objects. In this article, (n-ScIFS), deductive theory formulated. There (IFSs) Pythagorean (PFSs) generalized to n-ScIFS membership non-membership values, standard, by 1:1 scale or quadratic function scale. However, any power n>2 used. paper, n-Sc functions retaining IFSs properties considered. introduces conceptual apparatus analogous classical Zadeh Yager PFSs, consistently striving, first time, formulate relational structure n-ScIFSs model granule called here addition, power- linear-repeatable defined in serial parallel diagnosis processes. base determined produced shown. Certain algorithms have been given establish semantic language granules.