Fuzzy and probability vectors as elements of a vector space

Haim Shvaytser*, Shmuel Peleg

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

Abstract

The problem of defining vector space operations on fuzzy and probability vectors is discussed. It is shown that such a definition is equivalent to choosing a 1-1 and onto mapping from the unit interval into the real axis. Although such a mapping cannot be continuous, it is suggested that under certain approximations a continuous mapping can be chosen. A characterization of some useful mappings with applications to image processing is also given.

Original languageEnglish
Pages (from-to)231-247
Number of pages17
JournalInformation Sciences
Volume36
Issue number3
DOIs
StatePublished - Sep 1985

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