## FUZZY ALGORITHM
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"An ordered sequence of instructions (like a computer program) in which some of the instructions may contain labels of fuzzy sets, e.g.

- Reduce x slightly if y is large

- Increase x very slightly if y is not very large and not very small

- If x is small then stop; otherwise increase x by 2" (L.A. ZADEH, 1973b, p.30).

L.A. ZADEH states: "By allowing an algorithm to contain instructions of this type, it becomes possible to give an approximate fuzzy-algorithmic characterization of a wide variety of complex phenomena… (Ibid).

He adds: "Roughly speaking, a fuzzy algorithm is an ordered set of fuzzy instructions which upon execution yield an approximate solution to a specified problem. In one form or another, fuzzy algorithms pervade much of what we do. Thus we employ fuzzy algorithms, both consciously and subconsciously, when we walk, drive a car, search for an object, tie a knot, park a car, cook a meal, find a number in a telephone directory, etc… Furthermore, there are many instances of uses of what, in effect, are fuzzy algorithms in a wide variety of fields, especially in programming, operations research, psychology, management science, and medical diagnosis.

"The notion of a fuzzy set and, in particular, the concept of a fuzzy conditional statement provide a basis for using fuzzy algorithms in more systematic and hence more effective ways than was possible in the past" (Ibid, p.38).

### Categories

- 1) General information
- 2) Methodology or model
- 3) Epistemology, ontology and semantics
- 4) Human sciences
- 5) Discipline oriented

### Publisher

Bertalanffy Center for the Study of Systems Science(2020).

To cite this page, please use the following information:

* Bertalanffy Center for the Study of Systems Science (2020).* Title of the entry. In Charles François (Ed.), International Encyclopedia of Systems and Cybernetics (2). Retrieved from www.systemspedia.org/[full/url]

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