A Method Converting Multi-Properties Objective Reachability Problems to Multi-Objective Sets Reachability Problems over FKS
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| Titel: | A Method Converting Multi-Properties Objective Reachability Problems to Multi-Objective Sets Reachability Problems over FKS |
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| Autoren: | Zhaokai Li, Zhanyou Ma, Xia Li, Yingnan Gao |
| Quelle: | Symmetry; Volume 14; Issue 11; Pages: 2278 |
| Verlagsinformationen: | MDPI AG, 2022. |
| Publikationsjahr: | 2022 |
| Schlagwörter: | multi-properties objective reachability, multi-objective sets reachability, fuzzy kripke structure, conversion algorithm, 0202 electrical engineering, electronic engineering, information engineering, 02 engineering and technology |
| Beschreibung: | In this paper, we focus on the symmetrical relationship between multi-properties objective reachability problems and multi-objective sets reachability problems over FKS based on Zadeh logic. First, we give the formal definitions of those two problems. Then, we study their relationships and find that a multi-properties objective reachability problem and a special case of multi-objective sets reachability problems have symmetry. Finally, we give a polynomial time algorithm based on this symmetry to convert a multi-properties objective reachability problem to a multi-objective sets reachability problem. In addition, an illustrative example is listed to express some possible application methods based on our work. |
| Publikationsart: | Article Other literature type |
| Dateibeschreibung: | application/pdf |
| Sprache: | English |
| ISSN: | 2073-8994 |
| DOI: | 10.3390/sym14112278 |
| Rights: | CC BY |
| Dokumentencode: | edsair.doi.dedup.....1be524d284e6815685dce09ffdea8ba9 |
| Datenbank: | OpenAIRE |
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Nájsť tento článok vo Web of Science | Abstract: | In this paper, we focus on the symmetrical relationship between multi-properties objective reachability problems and multi-objective sets reachability problems over FKS based on Zadeh logic. First, we give the formal definitions of those two problems. Then, we study their relationships and find that a multi-properties objective reachability problem and a special case of multi-objective sets reachability problems have symmetry. Finally, we give a polynomial time algorithm based on this symmetry to convert a multi-properties objective reachability problem to a multi-objective sets reachability problem. In addition, an illustrative example is listed to express some possible application methods based on our work. |
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| ISSN: | 20738994 |
| DOI: | 10.3390/sym14112278 |