A Practical Introduction to Fuzzy Logic using LISP by Luis Argüelles Mendez

By Luis Argüelles Mendez

This publication uses the LISP programming language to supply readers with the required heritage to appreciate and use fuzzy common sense to unravel uncomplicated to medium-complexity real-world difficulties. It introduces the fundamentals of LISP required to take advantage of a Fuzzy LISP programming toolbox, which used to be in particular applied by way of the writer to “teach” the speculation in the back of fuzzy good judgment and while equip readers to take advantage of their newly-acquired wisdom to construct fuzzy versions of accelerating complexity. The booklet fills a massive hole within the literature, offering readers with a practice-oriented reference consultant to fuzzy good judgment that gives extra complexity than renowned books but is extra available than different mathematical treatises at the subject. As such, scholars in first-year college classes with a easy tertiary mathematical historical past and no earlier adventure with programming could be in a position to simply keep on with the content material. The booklet is meant for college students and execs within the fields of computing device technological know-how and engineering, as good as disciplines together with astronomy, biology, medication and earth sciences. software program builders can also reap the benefits of this e-book, that is meant as either an introductory textbook and self-study reference consultant to fuzzy good judgment and its purposes. the total set of capabilities that make up the bushy LISP programming toolbox may be downloaded from a spouse book’s website.

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3 First and Rest The first element in a list has an enormous importance in Lisp since its combination of symbol and value determines if it is a list of data or a list with a call to a function. In fact, when Lisp finds a list, it immediately evaluates its first element in order to know what to do with it. 3 First and Rest 25 temperatures for Berlin (-3 -2 1 4 8 11 13 12 9 6 2 -1) is “-3”, so Lisp identifies it as a list where no function is called. On the other hand, the first element of the list (add -3 -2 1 4 8 11 13 12 9 6 2 -1) is “add” and since it is included in the list of symbols of Lisp that represent functions then treats the rest of the list as arguments that must be provided to the function call.

3 First and Rest 25 temperatures for Berlin (-3 -2 1 4 8 11 13 12 9 6 2 -1) is “-3”, so Lisp identifies it as a list where no function is called. On the other hand, the first element of the list (add -3 -2 1 4 8 11 13 12 9 6 2 -1) is “add” and since it is included in the list of symbols of Lisp that represent functions then treats the rest of the list as arguments that must be provided to the function call. Having into account this grammatical rule of the language, it is not a surprise that Lisp incorporates two functions for accessing the first element of a list and the rest of elements.

Fig. 1 A graphical representation of the relationships between the Lisp functions (first), (rest) and (nth) 28 2 Lists Everywhere After arriving to this point, we are ready to learn how to build lists. Until now we have used the assignment function setq for linking a list to a symbol, and the symbols Berlin-lows and months were built this way. From these two symbols we are going to build a more complex list where every month and its correspondent low temperature will be paired in a sublist. Let us type the following: > (setq mt1 (cons (nth 0 months) (nth 0 Berlin-lows))) : (Jan -3) Here the new function is (cons).

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