### Fuzzy

Logic Term Paper:

**Fuzzy logic** is the branch of mathematics which is considered to be the generalization of the classic logic and set theory which is based on the approximate evaluation of the problem without the support of the facts and evidence. In 1965 the term of ‘fuzzy logic’ was introduced by Lotfi A. Zadeh as a part of the fuzzy set theory, where the variables, the elements of the theory, can possess the truth value on the interval from 0 to 1. The subject of the fuzzy logic is the research of the process of thinking in the condition of fuzziness, obscurity, etc and its application in the artificial intelligence and control theory. Nowadays there are two major branches of fuzzy logic and its research: fuzzy logic in the broad and in the narrow meaning. The question of fuzzy logic is quite interesting and offers wide space for suggestion. Most people understand that the regular classic logic is the logic which is supported with the definite facts and evidence.

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There are definite rules and laws which define the variable as the true or the false one. Fuzzy logic broadens the understanding the qualities of true and false and suggests the third way of probability. For example, the certain fact which is supposed to be a truth can at the same time possess false meaning and there is the space for discussion and deeper analysis of the issue. Fuzzy logic is the attempt to create the alternative opinion concerning the certain fact, because things can not possess the single definition of true or false, as every truth has the shade of false.

Fuzzy logic is a thought-provoking topic and the student is able to demonstrate his knowledge and critical thinking skills to illustrate the issue from all sides. One should explain the meaning of the term ‘fuzzy logic’ and dwell on the disciplines it is connected with. It is important to understand the aspects of the fuzzy logic, its role, subtopic and useful points related with it in order to define its value for the development of the artificial intelligence and mathematics. The student is able to pay attention to the problems, complicated sides of this branch of mathematics and define the spheres where this knowledge is applied.

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