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The Structure of Fuzzifying Measure Space and Fuzzifying Measure

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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.

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Periodical:

Advanced Materials Research (Volumes 108-111)

Pages:

844-849

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.108-111.844

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Cite this paper

Online since:

May 2010

Authors:

Shi Hua Luo

Keywords:

Fuzzifying Measure, Fuzzifying Null-Additive, Fuzzifying Weakly Absolutely Continuous, Product of Fuzzifying Measure

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© 2010 Trans Tech Publications Ltd. All Rights Reserved

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