Interval quantifying mapping of hedge algebras with adding special hedge.

Trần Thái Sơn, Nguyễn Cát Hồ, Phạm Đình Phong
Author affiliations

Authors

  • Trần Thái Sơn
  • Nguyễn Cát Hồ
  • Phạm Đình Phong

DOI:

https://doi.org/10.15625/1813-9663/28/4/1916

Abstract

This paper introduces a new method of quantification of hedge algebras, which is different from the ordinary method by the fact that an artificial hedge h_0 should be added to model the context-dependent semantics of terms. It is aimed to represent the change of the semantics of any term x of length k appeared in the context X_{(k+1)} of terms with the length k + 1, so the meaning of a term will be changed when its adjacent terms are changed. Then, when x in the context X_{(k)} is presented in X_{(k+1)}, its semantics is represented by the expression h_0x. In this study, an enlarged hedge algebra AX^* of a given hedge algebra AX will be developed to model context-dependent semantics of terms of AX. New concepts of fuzziness measure, fuzziness intervals and interval quantifying mappings of terms are also introduced and examined. It is shown that trapezoidal fuzzy sets can be constructed to utilize a mathematical formalism.

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Published

18-12-2012

How to Cite

[1]
T. T. Sơn, N. C. Hồ, and P. Đình Phong, “Interval quantifying mapping of hedge algebras with adding special hedge”., JCC, vol. 28, no. 4, pp. 346–358, Dec. 2012.

Issue

Section

Computer Science