A gentle introduction to fuzzy sets

  • Authors:
  • Rajan Alex

  • Affiliations:
  • West Texas A&M University, Canyon, TX

  • Venue:
  • Journal of Computing Sciences in Colleges
  • Year:
  • 2012

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Abstract

The fuzzy set and its applications have been extensively applied in various disciplines. It is suitable in application problems where data is imprecise, historic data is either not available, or cannot be determined exactly. Fuzzy sets maybe used to model problems involving uncertainty. Using fuzzy sets, we can establish relationships that can be used by decision makers to make estimates or predictions in situations involving a great deal of uncertainty, impreciseness and vagueness. Although many such modeling problems using fuzzy sets need a strong foundation in mathematics, the emphasis here is to show how fuzzy sets may be used in simple application problems. Traditionally, very little about fuzzy sets is taught in undergraduate courses. This work establishes the notion of fuzzy sets and fuzzy set operations through examples, and shows how these concepts can be applied in simple real-world application problems for teaching purposes and for understanding the concepts in general.