A Method Converting Multi-Properties Objective Reachability Problems to Multi-Objective Sets Reachability Problems over FKS

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...

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Vydáno v:Symmetry (Basel) Ročník 14; číslo 11; s. 2278
Hlavní autoři: Li, Zhaokai, Ma, Zhanyou, Li, Xia, Gao, Yingnan
Médium: Journal Article
Jazyk:angličtina
Vydáno: Basel MDPI AG 01.11.2022
Témata:
Algorithms
Artificial intelligence
Baldness
Fuzzy logic
Fuzzy sets
Markov analysis
Polynomials
Symmetry
ISSN:2073-8994, 2073-8994
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Shrnutí: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.
Bibliografie:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:2073-8994
2073-8994
DOI:10.3390/sym14112278