International Journal of Engineering, Management & Sciences (IJEMS) ISSN-2348 –3733, Volume-2, Issue-5, May 2015
The General Overview of the Phrase ‘Fuzzy Logic’ Aphu Elvis Selase, Chen Xing, Obed Kweku Agbadze, Brantson Eric Thompson Abstract— The problems of uncertainty, imprecision and vagueness have been discussed for many years. These problems have been major topics in philosophical arenas with series of debate, in particular, about the nature of vagueness and the ability of traditional Boolean logic to cope with concepts and perceptions that are imprecise or vague. These sometimes make experts to rely on common sense when they solve problems. Interestingly, a lot of experts such as scientists, philosophers, psychologists, great mathematicians and others, researched vehemently on fuzzy logic, putting each other under constant scrutiny in response to their individual propositions coupled with fuzzy logic not until Zadeh Lotfi, eventually conceived fuzzy logic in 1971. Fuzzy logic is not logic that is fuzzy, but logic that is used to describe fuzziness. Fuzzy logic is the theory of fuzzy sets, sets that calibrate vagueness. Fuzzy logic is based on the idea that all things admit of degrees. Temperature, height, speed, distance, beauty, handsome, ugly, walk, stand all comes on a sliding scale. My car is running really hot. Elvis is a very tall guy. Fuzzy logic reflects how people think. It attempts to model our sense of words, our decision making and our common sense. As a result, it is leading to new, more human, intelligent systems. Index Terms— Logic, Fuzzy Logic, General, Overview, Phrase..
I. INTRODUCTION Lotfali Askar Zadeh born on February 4, 1921, better known as Lotfi A. Zadeh, is a mathematician, electrical engineer, computer scientist, artificial intelligence researcher and professor emeritus of computer science at the University of California, Berkeley. As we know, logic is the study of the structure and principles of correct reasoning, and more specifically, attempts to establish the principles that guarantee the validity of deductive arguments. The central concept of validity is for logic, because when we affirm the validity of an argument are saying that it is impossible that its conclusion is false if its premises are true. Propositions are descriptions of the world, that is, are affirmations or denials of events in various possible worlds, of which the “real world” is just one of such. There is a long Manuscript received May 09, 2015. Aphu Elvis Selase, School of Public Administration, China University of Geosciences, Wuhan, China. Chen Xing, , School of Public Administration, China University of Geosciences, Wuhan, China. Obed Kweku Agbadze, ,, Faculty of Earth Sciences, China University of Geosciences, Wuhan, China. Brantson Eric Thompson, Faculty of Earth Sciences, China University of Geosciences, Beijing, China.
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philosophical tradition of disparaging between truth necessary (a prior or “logical”) and facts “contingent” (a posteriori or “factual”). The two have really led both concepts of logical truth, without being opposed to each other, are quite different: the conception of truth as coherence, cum the conception of truth as correspondence. The point of view of consistency in accordance, a proposition is true or false depending on its relationship with respect to a given set of propositions, this is due to the fact that, they have been consistently applied the rules of such system. A proposition is true or false, if it agrees with reality, that is, the fact referred to, thus under the terms of correspondence. Other views have tried to be overcome such dichotomy. Among them is the semantic point of view, raised by Polish mathematician and philosopher Alfred Tarski (1902-1983). To further strengthen the complexity of the challenge, one ought to bear in mind that not only told the truth or falsity of propositions, but also of theories, ideas and models. Therefore, different conceptions of truth are allowed. The underlying basic idea of all these approaches is that of an intrinsic dichotomy between true and false. This opposition implies the validity of two fundamental laws of classical logic: - Principle of excluded middle: Every proposition is true or false, and there is another possibility. - Principle of non-contradiction: No statement is true and false simultaneously. This basic idea generates a series of paradoxes and dissatisfaction that is based on the need to overcome this strict truth-bivalence of classical logic. Apparently, the desire future state of this research work cannot be left into oblivion when accounting for the significance aspects of this piece. Thus, to create the awareness of fuzzy logic’s origin and its relevance to all. This could also serve as tool for catapulting complex and vague issues with ease. Thirdly, to remind and enlighten readers about the history of fuzzy logic and the construction of its system. Also, to reveal the application of fuzzy logic in the field of public administration and to recommend ways in dealing with fuzzy logic with ease eventually. A. Literature Review Fuzzy, or multi-valued logic was introduced in the (1930s) by Jan Lukasiewicz , a Polish philosopher. While classical logic operates with only two values 1 (true) and 0 (false), Lukasiewicz introduced logic that extended the range of truth
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