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 language | English |
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Pages (from-to) | 231-247 |
Number of pages | 17 |
Journal | Information Sciences |
Volume | 36 |
Issue number | 3 |
DOIs | |
State | Published - Sep 1985 |