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Picture Fuzzy Geometric Aggregation Operators Based on a Trapezoidal Fuzzy Number and Its Application
- Source :
- Symmetry, Vol 13, Iss 119, p 119 (2021), Symmetry; Volume 13; Issue 1; Pages: 119
- Publication Year :
- 2021
- Publisher :
- MDPI AG, 2021.
-
Abstract
- The picture fuzzy set is a generation of an intuitionistic fuzzy set. The aggregation operators are important tools in the process of information aggregation. Some aggregation operators for picture fuzzy sets have been proposed in previous papers, but some of them are defective for picture fuzzy multi-attribute decision making. In this paper, we introduce a transformation method for a picture fuzzy number and trapezoidal fuzzy number. Based on this method, we proposed a picture fuzzy multiplication operation and a picture fuzzy power operation. Moreover, we develop the picture fuzzy weighted geometric (PFWG) aggregation operator, the picture fuzzy ordered weighted geometric (PFOWG) aggregation operator and the picture fuzzy hybrid geometric (PFHG) aggregation operator. The related properties are also studied. Finally, we apply the proposed aggregation operators to multi-attribute decision making and pattern recognition.
- Subjects :
- Physics and Astronomy (miscellaneous)
Mathematics::General Mathematics
Computer science
General Mathematics
Fuzzy set
02 engineering and technology
aggregation operators
multi-attribute decision making
01 natural sciences
Fuzzy logic
Set (abstract data type)
Operator (computer programming)
picture fuzzy sets
pattern recognition
0202 electrical engineering, electronic engineering, information engineering
Computer Science (miscellaneous)
Fuzzy number
0101 mathematics
lcsh:Mathematics
010102 general mathematics
lcsh:QA1-939
TheoryofComputation_MATHEMATICALLOGICANDFORMALLANGUAGES
ComputingMethodologies_PATTERNRECOGNITION
Transformation (function)
Chemistry (miscellaneous)
Pattern recognition (psychology)
020201 artificial intelligence & image processing
Multiplication
ComputingMethodologies_GENERAL
Algorithm
Subjects
Details
- ISSN :
- 20738994
- Volume :
- 13
- Database :
- OpenAIRE
- Journal :
- Symmetry
- Accession number :
- edsair.doi.dedup.....2e2816ad9218036e39d4c9023080942c