The Fixed Point Property for Intuitionistic Fuzzy Lattices
In this paper, based on the concept of intuitionistic fuzzy lattice previously introduced by Tripathy and his colleagues, a class of intuitionistic fuzzy complete lattices is proposed with some interesting characterizations given. In particular, we show the fixed point property for this proposed cla...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Tsinghua University Press
2017-09-01
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| Series: | Fuzzy Information and Engineering |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S1616865817302327 |
| _version_ | 1797717592362713088 |
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| author | Lemnaouar Zedam Soheyb Milles Ewa Rak |
| author_facet | Lemnaouar Zedam Soheyb Milles Ewa Rak |
| author_sort | Lemnaouar Zedam |
| collection | DOAJ |
| description | In this paper, based on the concept of intuitionistic fuzzy lattice previously introduced by Tripathy and his colleagues, a class of intuitionistic fuzzy complete lattices is proposed with some interesting characterizations given. In particular, we show the fixed point property for this proposed class. Conversely, we show that any intuitionistic fuzzy lattice is complete having its fixed point property. These results establish a criterion for completeness of intuitionistic fuzzy lattices in terms of the fixed points of their intuitionistic fuzzy monotone mappings. |
| first_indexed | 2024-03-12T08:38:32Z |
| format | Article |
| id | doaj.art-37681fdda02d470bbab3d5f40f3a594b |
| institution | Directory Open Access Journal |
| issn | 1616-8658 |
| language | English |
| last_indexed | 2024-03-12T08:38:32Z |
| publishDate | 2017-09-01 |
| publisher | Tsinghua University Press |
| record_format | Article |
| series | Fuzzy Information and Engineering |
| spelling | doaj.art-37681fdda02d470bbab3d5f40f3a594b2023-09-02T17:03:03ZengTsinghua University PressFuzzy Information and Engineering1616-86582017-09-019335938010.1016/j.fiae.2017.09.007The Fixed Point Property for Intuitionistic Fuzzy LatticesLemnaouar Zedam0Soheyb Milles1Ewa Rak2Laboratory of Pure and Applied Mathematics, Department of Mathematics, Med Boudiaf University of Msila, P.O. Box 166 Ichbilia, M’sila, 28105, AlgeriaLaboratory of Pure and Applied Mathematics, Department of Mathematics, Med Boudiaf University of Msila, P.O. Box 166 Ichbilia, M’sila, 28105, AlgeriaFaculty of Mathematics and Natural Sciences, University of Rzeszów, PolandIn this paper, based on the concept of intuitionistic fuzzy lattice previously introduced by Tripathy and his colleagues, a class of intuitionistic fuzzy complete lattices is proposed with some interesting characterizations given. In particular, we show the fixed point property for this proposed class. Conversely, we show that any intuitionistic fuzzy lattice is complete having its fixed point property. These results establish a criterion for completeness of intuitionistic fuzzy lattices in terms of the fixed points of their intuitionistic fuzzy monotone mappings.http://www.sciencedirect.com/science/article/pii/S1616865817302327Atanassov’s intuitionistic fuzzy setIntuitionistic fuzzy relationIntuitionistic fuzzy latticeFixed point property |
| spellingShingle | Lemnaouar Zedam Soheyb Milles Ewa Rak The Fixed Point Property for Intuitionistic Fuzzy Lattices Fuzzy Information and Engineering Atanassov’s intuitionistic fuzzy set Intuitionistic fuzzy relation Intuitionistic fuzzy lattice Fixed point property |
| title | The Fixed Point Property for Intuitionistic Fuzzy Lattices |
| title_full | The Fixed Point Property for Intuitionistic Fuzzy Lattices |
| title_fullStr | The Fixed Point Property for Intuitionistic Fuzzy Lattices |
| title_full_unstemmed | The Fixed Point Property for Intuitionistic Fuzzy Lattices |
| title_short | The Fixed Point Property for Intuitionistic Fuzzy Lattices |
| title_sort | fixed point property for intuitionistic fuzzy lattices |
| topic | Atanassov’s intuitionistic fuzzy set Intuitionistic fuzzy relation Intuitionistic fuzzy lattice Fixed point property |
| url | http://www.sciencedirect.com/science/article/pii/S1616865817302327 |
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