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Publikační činnost

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Typ záznamu * :	článek v odborném periodiku (J)
Domácí pracoviště * :	Ústav pro výzkum a aplikace fuzzy modelování (94410)
Název * :	Negations With Respect to Admissible Orders in the Interval-Valued Fuzzy Set Theory
Citace :	Asiain, M., Bustince, H., Mesiar, R., Kolesárová, A. a Takáč, Z. Negations With Respect to Admissible Orders in the Interval-Valued Fuzzy Set Theory. IEEE T FUZZY SYST. 2018, 26(2), s. 556-568. ISSN 1063-6706.

Podnázev :
Rok * :	2018
Obor * :	Obecná matematika
Kód ISSN * :	1063-6706
Oficiální název periodika * :	IEEE T FUZZY SYST
Stát vydavatele periodika * :	Spojené státy americké
Svazek periodika * :	26
Číslo periodika v rámci svazku * :	2
Číslo článku :
Ročník :
Počet stran článku * :	13
Strana od * :	556
Strana do * :	568
Kód UT WoS :	000428613500013
EID :	2-s2.0-85029417505
Poddruh recenzovaného článku :	Článek v impaktovaném časopise (Jimp)

Klíčová slova anglicky * :	Admissible order; equilibrium point; interval-valued fuzzy negations; intervals; strong negations on intervals; total order
Popis v původním jazyce * :	Admissible orders have brought the structure of chains in the framework of interval-valued fuzzy sets. However, a deeper study of functions monotone with respect to admissible orders is still missing in the literature. In this work, we consider the construction of negations and strong negations on intervals with respect to admissible orders, in particular, for the Xu and Yager and lexicographical orders, as well as for those based on K-alpha operators. We introduce and discuss an approach to the construction of strong negations on intervals with respect to K-alpha,(beta) orders based on an arbitrary couple of strong negations defined over the standard real interval [0, 1]. The introduced strong negations have a deep impact on all fields exploiting fuzzy methods dealing with intervals, allowing to introduce complements, dual aggregations, implications, entropies, etc.
Popis v anglickém jazyce * :	Admissible orders have brought the structure of chains in the framework of interval-valued fuzzy sets. However, a deeper study of functions monotone with respect to admissible orders is still missing in the literature. In this work, we consider the construction of negations and strong negations on intervals with respect to admissible orders, in particular, for the Xu and Yager and lexicographical orders, as well as for those based on K-alpha operators. We introduce and discuss an approach to the construction of strong negations on intervals with respect to K-alpha,(beta) orders based on an arbitrary couple of strong negations defined over the standard real interval [0, 1]. The introduced strong negations have a deep impact on all fields exploiting fuzzy methods dealing with intervals, allowing to introduce complements, dual aggregations, implications, entropies, etc.

Typ zdroje financování výsledku * :

Projekty CEP/Záměry CEZ

Seznam projektů :

ID Projektu	Název projektu

Seznam ohlasů :

Ohlas

R01:	RIV/61988987:17610/18:A1901VCS

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