
doi: 10.1155/2014/968405
The notation of fuzzy set field is introduced. A fuzzy metric is redefined on fuzzy set field and on arbitrary fuzzy set in a field. The metric redefined is between fuzzy points and constitutes both fuzziness and crisp property of vector. In addition, a fuzzy magnitude of a fuzzy point in a field is defined.
QA76.75-76.765, Functional analysis over fields other than \(\mathbb{R}\) or \(\mathbb{C}\) or the quaternions; non-Archimedean functional analysis, Fuzzy functional analysis, Electrical engineering. Electronics. Nuclear engineering, Computer software, TK1-9971
QA76.75-76.765, Functional analysis over fields other than \(\mathbb{R}\) or \(\mathbb{C}\) or the quaternions; non-Archimedean functional analysis, Fuzzy functional analysis, Electrical engineering. Electronics. Nuclear engineering, Computer software, TK1-9971
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