Abstract: A new method for the defuzzification of fuzzy numbers is developed in this paper. As is well-known, defuzzification methods allow to find aggregative crisp numbers for fuzzy numbers. But ...

Abstract: In Type-2 Fuzzy Logic Systems (T2FLS), the output of a type-2 fuzzy inference engine needs to be type-reduced in order to obtain crisp output in defuzzification process. The type reduced set ...

1 Department of Geography and Regional Planning, School of Surveying & Geoinformatics Engineering, National Technical University of Athens, Athens, Greece. 2 Department of Construction and Urban ...

Fuzzy linear systems extend classical linear algebra to the treatment of imprecise data by allowing coefficients, variables or constants to be represented as fuzzy sets rather than exact values. Such ...

ABSTRACT: In this paper, we introduce a method to obtain the nearest trapezoidal approximation of fuzzy numbers so that preserving conditions expect interval and include the core of a fuzzy number.

# 1. Define the universe of discourse for the output variable. # `np.arange` creates a NumPy array. Here, it will produce 101 elements from 0 to 10. x = np.arange(0 ...