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- Title
On δ-ϵ-Partitions for Finite Interval-Valued Hesitant Fuzzy Sets.
- Authors
Quirós, Pelayo; Alonso, Pedro; Díaz, Irene; Montes, Susana
- Abstract
Hesitant fuzzy sets represent a useful tool in many areas such as decision making or image processing. Finite interval-valued hesitant fuzzy sets are a particular kind of hesitant fuzzy sets that generalize fuzzy sets, interval-valued fuzzy sets or Atanassov's intuitionistic fuzzy sets, among others. Partitioning is a long-standing open problem due to its remarkable importance in many areas such as clustering. Thus, many different partitioning approaches have been developed for crisp and fuzzy sets. This work presents a partitioning method for the so-called finite interval-valued hesitant fuzzy sets. The definition of this partitioning method involves a definition of an ordering relation for finite interval-valued fuzzy sets membership degrees, i.e, finitely generated sets, as well as the definitions of t-norm and t-conorm for these kinds of sets.
- Subjects
FUZZY sets; INTERVAL analysis; DECISION making; IMAGE processing; INTUITIONISTIC mathematics
- Publication
International Journal of Uncertainty, Fuzziness & Knowledge-Based Systems, 2016, Vol 24, p145
- ISSN
0218-4885
- Publication type
Article
- DOI
10.1142/S0218488516400146