Transitivity of interval and fuzzy-interval extensions of interval functions
- 10.2991/ifsa-eusflat-15.2015.203How to use a DOI?
- Transitivity, Zadeh's extensions.
Let I = [a, b] be a real compact interval and ƒ : I I a continuous function. De ne Kc([a, b]) the class of all non empty compact subinterval of [a, b] and let the natural extension of ƒ to Kc([a, b]) , that is to say, (J) = ƒ(J) for all J ([a, b]). Also, let c([a, b]) the class of all fuzzy-intervals with support contained in [a, b] and consider ^ƒ the Zadeh's extension of ƒ to c([a, b]). The aim of this paper is to show that and ^ƒ are not transitive for any arbitrary self continuous function ƒ de ned on I.
- © 2015, the Authors. Published by Atlantis Press.
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Cite this article
TY - CONF AU - Heriberto Román-Flores AU - Yurilev Chalco-Cano PY - 2015/06 DA - 2015/06 TI - Transitivity of interval and fuzzy-interval extensions of interval functions BT - Proceedings of the 2015 Conference of the International Fuzzy Systems Association and the European Society for Fuzzy Logic and Technology PB - Atlantis Press SP - 1435 EP - 1437 SN - 1951-6851 UR - https://doi.org/10.2991/ifsa-eusflat-15.2015.203 DO - 10.2991/ifsa-eusflat-15.2015.203 ID - Román-Flores2015/06 ER -