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Analysis of Variance For Crisp Data with Membership Grades of Fuzzy Sets
2012
International Journal of Scientific Research
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The F-test statistic for the testing statistical hypothesis is given on the membership grades of the fuzzy sets. Decision rules for each proposed hypothesis test are provided. ...
Decision makers may use the proposed one factor ANOVA tests in the real life issues based on the membership grades of fuzzy sets for taking appropriate decisions in a simple and effective manner. ...
The statistical hypotheses testing for fuzzy data by proposing the notions of degrees of optimism and pessimism were proposed by Wu [11] . ...
doi:10.15373/22778179/dec2013/174
fatcat:ubeaxlnj25hlzdvyauxo45vtri
Possibility Measure of Accepting Statistical Hypothesis
2020
Mathematics
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Taking advantage of the possibility of fuzzy test statistic falling in the rejection region, a statistical hypothesis testing approach for fuzzy data is proposed in this study. ...
In contrast to classical statistical testing, which yields a binary decision to reject or to accept a null hypothesis, the proposed approach is to determine the possibility of accepting a null hypothesis ...
[19] proposed an algorithm for testing a hypothesis when both hypotheses and data are fuzzy based on a fuzzy test statistic. ...
doi:10.3390/math8040551
fatcat:mdolkkcp5bhj3erfpo7cgfwkkq
On the Robustness of Type-1 and Type-2 Fuzzy Tests vs. ANOVA Tests on Means
[chapter]
2009
Lecture Notes in Computer Science
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This paper presents a simulation study on fuzzy tests vs. ANOVA test on means. ...
Type-1, Interval Type-2 and ANOVA classical tests are compared through a simulated experiment for contrasting the stability of those approaches in front to a small change on sample. ...
Introduction and Motivation Recently, the use of fuzzy sets for involving uncertainty in the statistical analysis and its advantages has allowed the appearance of a new discipline called Fuzzy Statistics ...
doi:10.1007/978-3-642-04020-7_19
fatcat:gzw6nh2w3rbhhhnsq5tleq33ga
A Goodness-of-Fit Test Based on Fuzzy Random Variables
2023
Fuzzy Information and Engineering
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G oodness-of-fit testing is a technique to evaluate the fitness of a statistical model for the data set. ...
Comparing the observed test statistics and the given fuzzy significance level, a classical procedure was finally used to accept or reject the null fuzzy hypothesis. ...
The notion of Kolmogorov−Smirnov test statistic was introduced to test a fuzzy hypothesis based on a fuzzy random sample. ...
doi:10.26599/fie.2023.9270005
fatcat:x3ne5wvvf5b4bjqm26hlwtmvoy
Wilcoxon signed rank test for imprecise observations
2014
IOSR Journal of Mathematics
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Numerical illustration of the proposed test is provided by representing the observations as trapezoidal fuzzy numbers. ...
This article extends the Wilcoxon signed rank test for testing whether the median of a population is a specified constant by treating the observations as imprecise values. ...
Acknowledgment The author thank the University Grants Commission, New Delhi, India for providing financial assistance under Minor research project scheme (F.No:41-1396/2012) to carry out the above research ...
doi:10.9790/5728-10245559
fatcat:t3rof4iqqjdprkjhmfxpql3s6y
Fuzzy hypothesis testing with vague data using likelihood ratio test
2013
Soft Computing - A Fusion of Foundations, Methodologies and Applications
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In the first procedure, a ranking method for fuzzy numbers is utilized to make an absolute decision about acceptability of fuzzy null hypothesis. ...
Flexibility of the proposed approach in testing fuzzy hypothesis with vague data is presented using some numerical examples. ...
Grzegorzewski (2000) proposed a fuzzy test for hypothesis testing which gave the acceptability of null and alternative hypotheses. ...
doi:10.1007/s00500-012-0977-3
fatcat:6hbkbp5f7veqbh4ocv4aa7zb7y
STATISTICAL HYPOTHESIS TESTING USING FUZZY LINGUISTIC VARIABLES
2012
Fiabilitate şi Durabilitate
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This work proposes a fuzzy statistical test of fuzzy hypotheses usinglinguistic variables. ...
The method is based on Zadeh's principle: the fuzzy population mean in the null hypothesis is converted to fuzzy numbers using conversion scales proposed by Chen and Hwang (1992). ...
Watanabe and Imaizumi [26] introduced a testing method of a fuzzy hypothesis for random data, in whichthe We refer to Taheri [24] formore references about testing statistical hypothesis in fuzzy environment ...
doaj:7d9a7a2ff5a24562a04fbe7b2142e55c
fatcat:33xcqimdxfeovnf6ds6syoxnfy
A Simple but Efficient Approach for Testing Fuzzy Hypotheses
2016
Journal of Uncertainty Analysis and Applications
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In this paper, a new method is proposed for testing fuzzy hypotheses based on the following two generalized p-values: (1) the generalized p-value of null fuzzy hypothesis against alternative fuzzy hypothesis ...
and (2) the generalized p-value of alternative fuzzy hypothesis against null fuzzy hypothesis. ...
hypothesis andt δ = [t 1 (δ), t 2 (δ)] is the δ cut of the test statistic. ...
doi:10.1186/s40467-015-0042-8
fatcat:oml6o4rjw5bqjc5dp5hgc5f2sy
Parametric testing statistical hypotheses for fuzzy random variables
2015
Soft Computing - A Fusion of Foundations, Methodologies and Applications
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In this paper, a method is proposed for testing statistical hypotheses about the fuzzy parameter of the underlying parametric population. ...
This paper also develop the concepts of fuzzy type-I, fuzzy type-II errors and fuzzy power for the proposed hypothesis tests. ...
However, the proposed method can be applied only for fuzzy numbers involved in a problem of statistical hypothesis testing. ...
doi:10.1007/s00500-015-1604-x
fatcat:666cylopojavbe5mmsza44mzze
Fuzzy Approach for Group Sequential Test
2014
Advances in Fuzzy Systems
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This approach produces fuzzy test statistics and fuzzy critical values in hypothesis testing. In addition, the sample size is fixed for this test. ...
Unlike a sequential test, a group of sequential test provides substantial savings in sample and enables us to make decisions as early as possible. ...
Conflict of Interests The authors declare that there is no conflict of interests regarding the publication of this paper. ...
doi:10.1155/2014/896150
fatcat:to7jma6verhrpgulpv5phzlvri
An application of testing fuzzy hypotheses: Soil study on the bioavailability of cadmium
2011
Scientia Iranica. International Journal of Science and Technology
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As expected, in fuzzy hypotheses testing, the degree of acceptance or rejection of the null fuzzy hypothesis is computed for each treatment of pollution. ...
The results showed that using classical hypotheses testing may lead to contradictory decisions, and the proposed fuzzy hypotheses testing is a rational substitute for classical hypotheses testing when ...
The first and second authors are partially supported by Fuzzy Systems and Its Applications Center of Excellence, Shahid Bahonar University of Kerman, Iran. ...
doi:10.1016/j.scient.2011.05.011
fatcat:csrukynzu5cyxo734tm4uannia
Tests of Statistical Hypotheses with Respect to a Fuzzy Set
2013
Modern Applied Science
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In this paper, we propose four types of statistical hypothesis tests using small sample (or samples) based on the membership function (MF) of a fuzzy set (or fuzzy sets) namely, (i) testing of significance ...
for difference of means of two populations with respect to a fuzzy set, (ii) testing of significance for difference of means of a population with respect to two fuzzy sets, (iii) to test the difference ...
A. M. Sahul Hameed, Professor in English, VIT University, Vellore, India for checking the language and the presentation in this article. ...
doi:10.5539/mas.v8n1p25
fatcat:4ozkjzi6wrfbnn2zuuonyczwfy
Testing Statistical Hypotheses Based on Fuzzy Confidence Intervals
2016
Austrian Journal of Statistics
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<p>A fuzzy test for testing statistical hypotheses about an imprecise parameter is proposed for the case when the available data are also imprecise. ...
The proposed method is based on the relationship between the acceptance region of statistical tests at level β and confidence intervals for the parameter of interest at confidence level 1 − β. ...
In this paper, we wish to apply this point of view to fuzzy environment to propose a fuzzy test for testing hypotheses about a fuzzy parameter of a statistical model, based on a fuzzy confidence interval ...
doi:10.17713/ajs.v41i4.168
fatcat:wgyvfhnuunckresogpeucnhnky
Rejection Degree by Fuzzy Significance Probability
2014
Journal of the Korea Society For Power System Engineering
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We propose some properties for fuzzy hypothesis test by fuzzy significance probability. ...
First, we define fuzzy number data and fuzzy significance probability for repeatedly observed data with alternated error term. ...
Introduction We propose some properties for fuzzy hypothesis test by fuzzy significance probability by agreement index. ...
doi:10.9726/kspse.2014.18.1.135
fatcat:ccsu2yoq2favldt6735klmewai
Non-parametric Statistical Tests for Fuzzy Observations
2017
International Journal of Fuzzy Logic and Intelligent Systems
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A general approach to the problem of testing statistical non-parametric tests is proposed, for the case when the available data are fuzzy and the level of significance is given as a fuzzy number. ...
The method of decision making (to accept or reject the hypothesis of interest) is based on a suitable ranking method. A numerical example is prepaired to clarify the proposed approach. ...
The proposed approach is based on two key concepts of fuzzy test statistic and fuzzy critical value. ...
doi:10.5391/ijfis.2017.17.3.145
fatcat:ld2pl7vclnamllkykamwsdwr4a
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