Article ID Journal Published Year Pages File Type
391235 Fuzzy Sets and Systems 2006 4 Pages PDF
Abstract

In this paper, a fuzzy linguistic interpretation of the golden section is presented. Conventionally, in geometrical approach, the golden section partitions a search interval into a major subsegment and a minor subsegment in such a way that the ratio of the whole to the major equals the ratio of the major to the minor. In fuzzy linguistic interpretation, two natural language propositions and fuzzy set theory are applied to logically describe the location of the point that divides an interval into two subsegments. It is intriguing that the same ratio can be derived in a more understandable natural language form.

Related Topics
Physical Sciences and Engineering Computer Science Artificial Intelligence