Fuzziness measure on complete hedge algebras and quantifying semantics of terms in linear hedge algebras

  • Authors:

  • Nguyen Cat Ho;Nguyen Van Long

  • Affiliations:

  • Institute of Information Technology, Vietnam Academy of Sciences and Technologies, 18 Hoang Quoc Viet Str. Cau Giay Dist. Hanoi 10 000, Vietnam;Information Technology Section, University of Transport and Communications, Lang Thuong, Dong Da Dist. Hanoi, Vietnam

  • Venue:
  • Fuzzy Sets and Systems
  • Year:
  • 2007

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Abstract

In the paper, we shall examine the fuzziness measure (FM) of terms or of complete and linear hedge algebras of a linguistic variable. The notion of semantically quantifying mappings (SQMs) previously examined by the first author will be redefined more generally and a closed relation between the FM of linguistic terms and a family of SQMs with the parameters to be the FM of primary terms and linguistic hedges will be established. A semantics-based topology of hedge algebras and a closed and interesting relation between this topology, the FM and the above family of SQMs will be discovered and examined. An applicability of the FM and SQMs will be shown by an examination of some application examples.