Paper Title:
The Structure of Fuzzifying Measure Space and Fuzzifying Measure
  Abstract

A new so-called fuzzifying measurable theory that generalizes the classical measurable theory is established, the essence of which is a fuzzy measure on a multiple-valued algebra. First, the semantics method of continuous-valued logic is used to describe the new measure succinctly. Then, the structures of the new theory are discussed in detail and some of the key structural features of the classic measure can be successfully extended to the new theory. Lastly, the product of the two fuzzifying measures is studied and a problem, which is similar to the third of the open problems in fuzzy measure by Z. Wang, is considered.

  Info
Periodical
Advanced Materials Research (Volumes 108-111)
Edited by
Yanwen Wu
Pages
844-849
DOI
10.4028/www.scientific.net/AMR.108-111.844
Citation
S. H. Luo, "The Structure of Fuzzifying Measure Space and Fuzzifying Measure", Advanced Materials Research, Vols. 108-111, pp. 844-849, 2010
Online since
May 2010
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Price
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