A fuzzy linguistic interpretation of the golden section
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. (C) 2006 Elsevier B.V. All rights reserved.
fuzzy linguistic interpretation the golden section line-search optimization natural computing