On Admissible Total Orders for Interval-valued Intuitionistic Fuzzy Membership Degrees
The linearity contained in the natural order of unit interval [0,1] plays an important role in many concepts and applications of fuzzy theory. Besides, it is very important in concepts like ordered weighted aggregation operators (OWA) and fuzzy decision making. However, this linearity is not inherit...
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| Format: | Article |
| Language: | English |
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Tsinghua University Press
2016-06-01
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| Series: | Fuzzy Information and Engineering |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S1616865816300206 |
| _version_ | 1797714708652883968 |
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| author | I.A. Da Silva B. Bedregal R.H.N. Santiago |
| author_facet | I.A. Da Silva B. Bedregal R.H.N. Santiago |
| author_sort | I.A. Da Silva |
| collection | DOAJ |
| description | The linearity contained in the natural order of unit interval [0,1] plays an important role in many concepts and applications of fuzzy theory. Besides, it is very important in concepts like ordered weighted aggregation operators (OWA) and fuzzy decision making. However, this linearity is not inherited by most of fuzzy logics which extend the standard one. To recover the linearity for such frameworks it is required that its related partial order to be extended give rise to the notion of admissible order. In this paper, we study some admissible orders for the framework of interval-valued intuitionistic fuzzy logic. |
| first_indexed | 2024-03-12T07:55:57Z |
| format | Article |
| id | doaj.art-813dae29c6a74ddebe66dab551cd0d48 |
| institution | Directory Open Access Journal |
| issn | 1616-8658 |
| language | English |
| last_indexed | 2024-03-12T07:55:57Z |
| publishDate | 2016-06-01 |
| publisher | Tsinghua University Press |
| record_format | Article |
| series | Fuzzy Information and Engineering |
| spelling | doaj.art-813dae29c6a74ddebe66dab551cd0d482023-09-02T20:15:16ZengTsinghua University PressFuzzy Information and Engineering1616-86582016-06-018216918210.1016/j.fiae.2016.06.003On Admissible Total Orders for Interval-valued Intuitionistic Fuzzy Membership DegreesI.A. Da Silva0B. Bedregal1R.H.N. Santiago2Programa de Pós-Graduação em Engenharia Elétrica e de Computação, Universidade Federal do Rio Grande do Norte, Campus Universitário s/n, 59078-970, Natal, BrazilDepartamento de Informática e Matemática Aplicada, Universidade Federal do Rio Grande do Norte, Campus Universitário s/n, 59078-970 Natal, BrazilDepartamento de Informática e Matemática Aplicada, Universidade Federal do Rio Grande do Norte, Campus Universitário s/n, 59078-970 Natal, BrazilThe linearity contained in the natural order of unit interval [0,1] plays an important role in many concepts and applications of fuzzy theory. Besides, it is very important in concepts like ordered weighted aggregation operators (OWA) and fuzzy decision making. However, this linearity is not inherited by most of fuzzy logics which extend the standard one. To recover the linearity for such frameworks it is required that its related partial order to be extended give rise to the notion of admissible order. In this paper, we study some admissible orders for the framework of interval-valued intuitionistic fuzzy logic.http://www.sciencedirect.com/science/article/pii/S1616865816300206Interval-valued intuitionistic fuzzy setsScore functionAccuracy functionAdmissible total orders |
| spellingShingle | I.A. Da Silva B. Bedregal R.H.N. Santiago On Admissible Total Orders for Interval-valued Intuitionistic Fuzzy Membership Degrees Fuzzy Information and Engineering Interval-valued intuitionistic fuzzy sets Score function Accuracy function Admissible total orders |
| title | On Admissible Total Orders for Interval-valued Intuitionistic Fuzzy Membership Degrees |
| title_full | On Admissible Total Orders for Interval-valued Intuitionistic Fuzzy Membership Degrees |
| title_fullStr | On Admissible Total Orders for Interval-valued Intuitionistic Fuzzy Membership Degrees |
| title_full_unstemmed | On Admissible Total Orders for Interval-valued Intuitionistic Fuzzy Membership Degrees |
| title_short | On Admissible Total Orders for Interval-valued Intuitionistic Fuzzy Membership Degrees |
| title_sort | on admissible total orders for interval valued intuitionistic fuzzy membership degrees |
| topic | Interval-valued intuitionistic fuzzy sets Score function Accuracy function Admissible total orders |
| url | http://www.sciencedirect.com/science/article/pii/S1616865816300206 |
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