Comparison of fuzzy values on a continuousdomainJee -
نویسندگان
چکیده
This paper extends a comparison measure called the statisfaction function(SF). The SF estimates the degree to which arithmetic comparisons between two fuzzy values are satissed. The previously proposed SF was deened on a discrete domain(SFD). So, in order to compare continuous fuzzy values, the fuzzy values should be converted into discrete ones. This paper deenes a satisfaction function on a continuous domain(SFC) based on the SFD. Since the SFC is extended from the SFD, it has not only the properties of the SFD, but also additional useful properties. Because the SFC also has the same meaning as the SFD, it can be used in any applications instead of the SFD. The SFC's for comparisons between a fuzzy and a crisp values, and between two crisp values are also deened. In addition, it is shown that the SFC has low time complexity if membership function is integrable and multiplication is used as T-norm operator.
منابع مشابه
Ranking triangular interval-valued fuzzy numbers based on the relative preference relation
In this paper, we first use a fuzzy preference relation with a membership function representing preference degree forcomparing two interval-valued fuzzy numbers and then utilize a relative preference relation improved from the fuzzypreference relation to rank a set of interval-valued fuzzy numbers. Since the fuzzy preference relation is a total orderingrelation that satisfies reciprocal and tra...
متن کاملMultiple Fuzzy Regression Model for Fuzzy Input-Output Data
A novel approach to the problem of regression modeling for fuzzy input-output data is introduced.In order to estimate the parameters of the model, a distance on the space of interval-valued quantities is employed.By minimizing the sum of squared errors, a class of regression models is derived based on the interval-valued data obtained from the $alpha$-level sets of fuzzy input-output data.Then,...
متن کاملComparison of parametric and fuzzy analytic hierarchy process in land evaluation (Case study: Varamin region)
In last decades, the skillful planning of land resources has become a major issue for rural development. The development of cultivated areas becomes gradually impossible due to ever increasing population growth and urban development. Fuzzy logic is preferred to Boolean logic for land evaluation, because fuzzy techniques lead to estimate for land use suitability on a continuous scale and can the...
متن کاملComparing different stopping criteria for fuzzy decision tree induction through IDFID3
Fuzzy Decision Tree (FDT) classifiers combine decision trees with approximate reasoning offered by fuzzy representation to deal with language and measurement uncertainties. When a FDT induction algorithm utilizes stopping criteria for early stopping of the tree's growth, threshold values of stopping criteria will control the number of nodes. Finding a proper threshold value for a stopping crite...
متن کاملA Proposed Preference Index For Ranking Fuzzy Numbers Based On $alpha$-Optimistic Values
In this paper, we propose a novel method for ranking a set of fuzzy numbers. In this method a preference index is proposed based on $alpha$-optimistic values of a fuzzy number. We propose a new ranking method by adopting a level of credit in the ordering procedure. Then, we investigate some desirable properties of the proposed ranking method.
متن کامل