Journal
FUZZY SETS AND SYSTEMS
Volume 236, Issue -, Pages 1-32Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.fss.2013.07.011
Keywords
Extended supremum; Extended infimum; Fuzzy relations; Type-2 fuzzy relations; Interval-valued type-2 fuzzy sets; Interval-valued type-2 fuzzy relations
Funding
- National Nature Science Foundation of China [61179038]
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This paper introduces new operations on the algebra of fuzzy truth values, extended supremum and extended infimum, which are generalizations of the extended operations of maximum and minimum between fuzzy truth values for type-2 fuzzy sets, respectively. Using these new operations, the properties of type-2 fuzzy relations are discussed, especially the compositions of type-2 fuzzy relations. On this basis, this paper introduces interval-valued type-2 fuzzy sets and interval-valued type-2 fuzzy relations, and discusses their properties. (C) 2013 Elsevier B.V. All rights reserved.
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