Interpretation in the Intuitionistic Fuzzy Triangle of the Results, Obtained by the InterCriteria Analysis

Abstract

The present research is a consequent step in an ongoing research of a novel approach for decision support, called InterCriteria Analysis, which aims at identification of specific correlations between criteria in a decision making processes, using the concepts of intuitionistic fuzziness and index matrices. The step made here is not a gradual improvement of previous results, but a new way of reading them. It is shown how the results produced by the InterCriteria Analysis approach can be interpreted within the specific triangular geometrical interpretation of IFSs, thus allowing us to order these results according simultaneously to the membership and the non-membership component of the intuitionistic fuzzy pairs.

Computational complexity and influence of numerical precision on the results of intercriteria analysis in the decision making process

“…In each of the Tables 3-6, (a) stays for the membership parts of the intercriteria dependences, (b) stays for the table of the respective non-membership parts, and (c) goes for the calculated distances of the intercriteria points to the point (1, 0), i.e., the complete Truth, sorted in ascending way. Subsequently in Figure 1 (a)-(d), the results from the ICrA application on the four datasets are given graphically, with the intuitionistic fuzzy pairs plotted as points onto the intuitionistic fuzzy interpretational triangle [6,7].…”

Intercriteria analysis of countries in transition from factor-driven to efficiency-driven economy

“…The computations are performed with the two developed ICA software applications [13][14][15], which for the sake of simplicity return the computed result in the form of two tables, one giving the membership parts of the IF pairs, and the other giving the non-membership parts. Therefore, here we present the results of the application of ICA in tabular way by two tables per year with the membership and non-membership parts of the intercriteria pairs (Tables 8 a) and b) to 12 a) and b)), and in graphic way as points plotted on the intuitionistic fuzzy interpretational triangle, [6] (Figure 1, a) Financial market development 0.747 0.679 0.584 0.584 0.647 0.779 0.589 1.000 0.679 0.511 0.821 0.732 Technological readiness Table 9. Results of ICA on the data of factor-to-efficiency economies in 2014-2015.…”

Inter-Criteria Analysis Based on Belief Functions for GPS Surveying Problems

“…At the beginning of ICrA development it was not very clear how these intuitionistic fuzzy (IF) pairs (µ jj ′ , ν jj ′ ) had to be used and that is why Atanassova [29], [30] proposed to handle both components of the IF pair. For this, she interpreted pairs (µ jj ′ , ν jj ′ ) as points located in the elementary T F U triangle, where the point T of coordinate (1, 0) represents the maximal positive consonance (i.e.…”