Generalized arithmetic operators and their relationship to t-norms in interval-valued fuzzy set theory
نویسندگان
چکیده
منابع مشابه
Generalized arithmetic operators and their relationship to t-norms in interval-valued fuzzy set theory
In this paper we study extensions of the arithmetic operators +, −, ·, ÷ to the lattice L of closed subintervals of the unit interval. Starting from a minimal set of axioms that these operators must fulfill, we investigate which properties they satisfy. We also investigate some classes of t-norms on L which can be generated using these operators; these classes provide natural extensions of the ...
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ژورنال
عنوان ژورنال: Fuzzy Sets and Systems
سال: 2009
ISSN: 0165-0114
DOI: 10.1016/j.fss.2009.05.002