Crisp logic

The rule viewer shown in Fig. 13 consists of the system s inputs and output column. The first and second column is the inputs which are maturity level and size while third column is the quality level output (defuzzification output). Based on the defuzzification results from the rule viewer in Fig. 13 where the maturity (= 0.66) is in matured set with membership grade 1 and size (= 0.5) is in big and medium set both with 0.5 membership grade. The defuzzification value of quality is calculated by using centroid method. Then the classification of fruit is determined based on crisp logic given in Table 3. 

The most important property of any proposition as distinction from concepts or terms is that it can be true or false. In any proposition, the reasoning that appears due to the relationship between the antecedent and consequent parts can be true or false. Hence, according to two-value (crisp) logic one has to make a decision inferred from propositions. For decisions one must think rationally with arguments for any inference. In making arguments, and subsequent inferences, there are four ways as deduction, induction, analogy and hybridization (Chap. 2). 

It is possible to make predictions either by crisp logic mathematical models or expert views. The major question that arises is presented in Fig. 5.2. 

Traditionally in any education system crisp logic is much easier to reach to a common agreement because at the end it provides truth and precision even though in the idealized world. However, the classical education system renders the students to become acquaintant with precision by saying that science provides precision, which is not acceptable absolutely. Fuzzy education system provides open-mindedness in the argument of any problem and open for further criticisms, which helps to improve the present solution alternative, if any. 

In crisp logic education system assumptions, hypotheses and idealizations are the common means for mind to grasp the natural phenomena, and therefore, any scientific conclusion or equation is valid under certain circumstances. 

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