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...

Full description

Saved in:
Bibliographic Details
Published in:Symmetry (Basel) Vol. 14; no. 11; p. 2278
Main Authors: Li, Zhaokai, Ma, Zhanyou, Li, Xia, Gao, Yingnan
Format: Journal Article
Language:English
Published: Basel MDPI AG 01.11.2022
Subjects:
Algorithms
Artificial intelligence
Baldness
Fuzzy logic
Fuzzy sets
Markov analysis
Polynomials
Symmetry
ISSN:2073-8994, 2073-8994
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:2073-8994
2073-8994
DOI:10.3390/sym14112278