Developing a fuzzy logic model for predicting soil infiltration rate based on soil texture properties

Abstract

Fuzzy logic system The FLS is a theory in formal mathematics that enables a definitive solution to be obtained for problems that are complex, uncertain, and unstructured (Bojórquez-Tapia et al., 2002). A general fuzzy system (Zadeh, 1975) is composed of four primary elements: fuzzification, fuzzy rules, a fuzzy inference engine, and defuzzification (Fig. 3). Fuzzification Fuzzification is a process that transforms a numerical value into a fuzzy value. Fuzzification is usually created with fuzzy sets that are defined by a membership function. Fuzzy sets commonly assign a domain of interest to the interval [0, 1]. The fuzzy set A ⊂ X is given by: (1) where x1 are the elements of the universe of discourse ( X), and μA (x) is the membership function of x in A . Trapezoidal and triangular shapes are the most commonly used membership functions (Kosko and Toms, 1993). 0 () 1A xµ≤=( ){ }1, () ,AA x xxX µ= ∈ Table 1.

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