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Ranking Trapezoidal Fuzzy Variables by Second-order Fuzzy Dominance Based on credibility distribution

Ranking Trapezoidal Fuzzy Variables by Second-order Fuzzy Do...

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第一届中国智能计算大会

作者： Qin Jiang Jin Peng Institute of Uncertain Systems,College of Mathematics and Information Sciences Huanggang Normal University,Hubei 438000,China

＜正＞Fuzzy dominance is a relatively important and new concept for ranking fuzzy variables based on their credibility *** a special case of order- ing fuzzy variables,ranking trapezoidal fuzzy variables is a perennial subject of interest because of its foundation in practial *** the paper,we rank trapezoidal fuzzy variables by second-order fuzzy dominance.

关键词： credibility theory credibility distribution second-order fuzzy dominance trapezoidal fuzzy variable

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Investigation of Different Versions of credibility distribution

Investigation of Different Versions of Credibility Distribut...

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第三届中国智能计算大会

作者： Shengguo Li,Jin Peng Institute of Uncertain Systems College of Mathematics and Information Sciences Huanggang Normal University,Hubei 438000,China

＜正＞credibility distribution based on credibility theory is an important way to research the fuzzy *** this paper,we first present different definitions of credibility ***,some properties of the proposed credibility... 详细信息

关键词： credibility distribution Fuzzy variable Expected value credibility theory

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Some Remarks on The Second-Order Fuzzy Dominance Based on credibility distribution

Some Remarks on The Second-Order Fuzzy Dominance Based on Cr...

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The Fifth International Conference on Information and Management Sciences

作者： Qin Jiang and Jin Peng College of Mathematics and Information Sciences Huanggang Normal University Hubei 438000 China

＜正＞Fuzzy dominance is a relatively new concept for ranking fuzzy variables based on their credibility distributions. The second order fuzzy dominance is introduced against the backgrounds of studying economic behavior in finance and insurance under uncertainty in a fuzzy environment. In this paper, we made some remarks on the basic properties of the second order fuzzy dominance. As an illustration, the case of the second order fuzzy dominance for trapezoidal fuzzy variables is investigated.

关键词： credibility theory fuzzy variable credibility distribution second order fuzzy dominance trapezoidal fuzzv variable

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A Type of Modified λ-credibility Expectation

A Type of Modified λ-Credibility Expectation

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第一届中国智能计算大会

作者： Shengguo Li Jin Peng College of Mathematical and Information Sciences,Huanggang Normal University,Hubei 438000,China

＜正＞In this paper,we first introduce a type of modified λ-credibility expectation,and discuss some properties of this type of λ-credibility *** the concepts of λ-credibility distribution and λ-credibility density function are *** the relationship between λ-credibility density function and modified λ-credibility expectation also has been *** the text,some calculation examples are given.

关键词： Fuzzy variable credibility expectation credibility density function credibility distribution credibility measure.

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Some Properties of Ordinary Fuzzy Variables

Some Properties of Ordinary Fuzzy Variables

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第四届中国不确定系统年会

作者： Li Xiang Liu Baoding Department of Mathematical Sciences, Tsinghua University, Beijing 100084, China

＜正＞Ordinary fuzzy variable is a special kind of fuzzy variable with upper semi-continuous and quasiconcave membership function vanishing at infinity. The purpose of this paper is to study this concept within the framework of credibility theory. The definition of ordinary fuzzy variable is presented and some properties are discussed. Furthermore, the uniqueness theorem between credibility distribution and membership function of ordinary fuzzy variable is proved, and a sufficient and necessary condition for the credibility distribution of ordinary fuzzy variable is given. Finally, the maximum entropy theorem for continuous ordinary fuzzy variable is proved.

关键词： Ordinary fuzzy variable credibility distribution Maximum entropy theorem

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Some Calculation Formulae and Inequalities on the Variance of Fuzzy Variables

Some Calculation Formulae and Inequalities on the Variance o...

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第十四届中国不确定系统年会第十八届中国青年信息与管理学者大会

作者：缪运文上海大学管理学院

Variance is of great significance in measuring the degree of deviation, which has gained extensive usage in many fields in practical scenarios. Although the variance of fuzzy variables with respect to the possibility measure and its properties have been studied before, the variance of fuzzy variables on the basis of the credibility measure has not been formally investigated yet due to the intricate process of calculation. It is acknowledged that the credibility measure is self-dual, which is important both theoretically and practically. Thus, this paper studied the variance of fuzzy variables based upon the credibility measure for better applications. The definition of the variance based on the credibility measure was first put forward by Liu and Liu in 2002. Following this idea, the calculation of the accurate value of the variance for some special fuzzy variables, like the symmetric and asymmetric triangular fuzzy numbers and the Gaussian fuzzy number, is presented in this paper, which turns out to be far more complicated. Therefore, in order to better implement variance in real-life projects like risk control and quality management, this papersuggests a rational upper bound of the variance based on an inequality from a new operational law presented in Zhou et al.(2016), together with its calculation formula, which can largely simplify the calculation process within a reasonable range. Meanwhile, some discussions between the variance and its rational upper bound are presented to show the rationality of the latter. Furthermore, two inequalities regarding the rational upper bound of variance and standard deviation of the sum of two fuzzy variables and their individual variances and standard deviations are proved, respectively. Subsequently, some numerical examples are illustrated to show the effectiveness and the feasibility of the proposed inequalities.

关键词： Fuzzy variable credibility distribution Variance Rational upper bound Inequality

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Credibilistic Bonferroni Curve and Bonferroni Index in Fuzzy Systems

Credibilistic Bonferroni Curve and Bonferroni Index in Fuzzy...

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第三届中国智能计算大会

作者： Wen Dong,Jin Peng College of Mathematics and Science,Shanghai Normal University,Shanghai 200234 College of Mathematics and Information Sciences,Huanggang Normal University,Hubei 438000

Bonferroni curve and Bonferroni index are used to provide a sensitive measure of income *** this paper,we proposes the new concept of credibilistic Bonferroni curve and Bonferroni index based on credibility ***, we recall a brief history of Bonferroni curve and Bonferroni index in stochastic ***, the concepts of credibilistic Bonferroni curve and Bonferroni index are formally ***, some basic properties of credibilistic Bonferroni curve and Bonferroni index are ***, some common credibilistic distributions are illustrated.

关键词： credibility theory fuzzy variable credibility distribution credibilistic Bonferroni curve Bonferroni index

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Ranking fuzzy variables by their moments

Ranking fuzzy variables by their moments

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The Eleventh International Conference on Information and Management Sciences(IMS2012) in Celebrating of the 60th Birthday of Prof.Shu-Cherng Fang

作者： Xiaozhong Li~*,Ying Liu College of Computer Science and Information Engineering,Tianjin University of Science and Technology,Tianjin 300222,China

Ranking fuzzy numbers and fuzzy variables plays an important role in decision-making,data analysis and applications. Several strategies have been proposed for ranking of fuzzy *** of these techniques has been shown to produce non-intuitive results in certain *** paper proposes a new approach for ranking of fuzzy variables based on their moments within the framework of credibility *** comparative examples are used to illustrate that the proposed approach is simpler,better and more consistent with human intuition than existing ones.

关键词： Fuzzy variables credibility distribution Ranking Moments

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