Hexagonal fuzzy approximation of fuzzy numbers and its applications in MCDM

Abstract Numerous research papers and several engineering applications have proved that the fuzzy set theory is an intelligent effective tool to represent complex uncertain information. In multi-criteria decision-making (fuzzy MCDM) methods, information system control-theoretic models, qualitative are extracted from expert’s knowledge as linguistic variables modeled by linear/non-linear numbers. numerical computations experiments, information/data fitted nonlinear functions for better accuracy which may be little hard further processing apply in real-life problems. Hence, study of non-linear numbers through triangular trapezoidal very natural various researchers attempted transform into piecewise linear interval/triangular/trapezoidal nature different methods past years. But it noted triangular/trapezoidal approximation has more loss Therefore, there a need given number without losing much modeling. On coincidence, new notion Generalized Hexagonal Fuzzy Number been introduced its on Multi-Criteria Decision-Making problem (MCDM) Fully Linear System (GHXFFLS) equations studied Lakshmana et al. 2020. this paper, hexagonal includes trapezoidal, interval special cases with less loss/gain than other existing attempted. Since any satisfied fully modal value/core concept, concept expected preserved same value/core. stepwise procedure approximating preserves core proposed using constrained programming model illustrated numerically considering parabolic number. Furthermore, method compared efficiency terms Finally, some properties applicability Group MCDM index matrix (IM).