Publication detail

Pre-orders and Orders Generated by Conjunctive Uninorms

HLINĚNÁ, D. KRÁĽ, P. KALINA, M.

Original Title

Pre-orders and Orders Generated by Conjunctive Uninorms

Czech Title

Predusporiadania a usporiadania generované konjuktívnymi uninormami.

English Title

Pre-orders and Orders Generated by Conjunctive Uninorms

Type

conference paper

Language

en

Original Abstract

This paper is devoted to studying of (pre-)orders of the unit interval generated by uninorms. We present properties of such generated pre-orders. Further we give a condition under which the generated relation is just a pre-order, i.e., under which it is not anti-symmetric. We present also a new type of uninorms, which is interesting from the point of view of generated pre-orders.

Czech abstract

Článok sa venuje štúdiu (pred)-usporiadaní na jednotkovom intervale generoavných uninormami. Sú popísané vlastnosti takto generovaných pred-usporiadaní. Ďalej je daná podmienka, za ktorej takto generovaná relácia je pred usporiadaním, resp. nie je antisymetrická. Článok sa venuje aj novým typom uninoriem, ktoré sú zaujímavé z pohľadu generovania predusporiadaní.

English abstract

This paper is devoted to studying of (pre-)orders of the unit interval generated by uninorms. We present properties of such generated pre-orders. Further we give a condition under which the generated relation is just a pre-order, i.e., under which it is not anti-symmetric. We present also a new type of uninorms, which is interesting from the point of view of generated pre-orders.

Keywords

Uninorm, non-representable uninorm, generated pre-order, twisted minimum, twisted maximum

RIV year

2014

Released

19.07.2014

Pages from

307

Pages to

316

Pages count

10

BibTex


@inproceedings{BUT111831,
  author="Dana {Hliněná} and Pavol {Kráľ} and Martin {Kalina}",
  title="Pre-orders and Orders Generated by Conjunctive Uninorms",
  annote="This paper is devoted to studying of (pre-)orders of the unit interval generated by uninorms. We present properties of such generated pre-orders. Further we give a condition under which the generated relation is just a pre-order, i.e., under which it is not anti-symmetric. We present also a new type of uninorms, which is interesting from the point of view of generated pre-orders.",
  booktitle="15th International Conference on Information Processing and Management of Uncertainty in Knowledge-based Systems",
  chapter="111831",
  doi="10.1007/978-3-319-08852-5_32",
  howpublished="online",
  number="444",
  year="2014",
  month="july",
  pages="307--316",
  type="conference paper"
}