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A note on the paper 'The trapezoidal fuzzy soft set and its application in MCDM'
- Source :
- Applied Mathematical Modelling. 48:731-735
- Publication Year :
- 2017
- Publisher :
- Elsevier BV, 2017.
-
Abstract
- We propose a new concept which is a generalization of fuzzy soft subset and fuzzy soft equal. Using such notions, we will be able to consider the distributive law of fuzzy soft sets. Using the distributive law of fuzzy soft sets, we point out that the distributive law of trapezoidal fuzzy soft sets as proposed by Xiao et al. (2012) is not true. The correction will further improve further extensions of the results of Xiao et al. (2012). We will also establish the generalized distributive law of trapezoidal fuzzy soft sets along with illustrative examples.
- Subjects :
- 0209 industrial biotechnology
Mathematical optimization
Fuzzy classification
Mathematics::General Mathematics
Astrophysics::High Energy Astrophysical Phenomena
Applied Mathematics
Fuzzy set
02 engineering and technology
Type-2 fuzzy sets and systems
Defuzzification
Algebra
020901 industrial engineering & automation
Modeling and Simulation
0202 electrical engineering, electronic engineering, information engineering
Fuzzy number
Fuzzy set operations
020201 artificial intelligence & image processing
Membership function
Mathematics
Soft set
Subjects
Details
- ISSN :
- 0307904X
- Volume :
- 48
- Database :
- OpenAIRE
- Journal :
- Applied Mathematical Modelling
- Accession number :
- edsair.doi...........71035fb71824af349e83578059208aea