On Fuzzy Random Vectors with Stepwise Membership Levels and Their Application to Questionnaire Survey

Egawa, Yoshiyuki; Fukuda, Tokuo

doi:10.5687/sss.2007.58

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2013

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“…Both for an elementary fuzzy random set � U (u o ,ω) and an extended one � U (ω), another notion of variances obtained from Frèchet approach can be defined [15][16][17]. For instance, the variance of an elementary fuzzy random set � U (u o ,ω) by Fréchet approach is given by…”

Section: Discussionmentioning

confidence: 99%

On Second Statistical Moments for Capricious Vague Perceptions

Fukuda

2013

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In this paper, the author investigates the statistical moments such as expectations and variances for a class of fuzzy random sets, where the fuzzy random set is considered as a model of the capricious vague perception of a crisp phenomenon or a crisp random phenomenon.First, the class of fuzzy random sets, which has been proposed by author [1][2][3], where the vague perception of a crisp phenomenon fluctuates slightly but randomly by the state of a capricious person's mind, is refined and its expectation and variance are introduced.Secondly, the refined class of fuzzy random sets is extended to the models for the capricious vague perceptions of crisp random phenomena, and their expectations and variances are investigated from the viewpoint of the multi-valued logic.

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Section: Discussionmentioning

confidence: 99%

On Second Statistical Moments for Capricious Vague Perceptions

Fukuda

2013

Transactions of ISCIE

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show abstract

On Fuzzy Random Vectors with Stepwise Membership Levels and Their Application to Questionnaire Survey

Cited by 1 publication

References 5 publications

On Second Statistical Moments for Capricious Vague Perceptions

On Second Statistical Moments for Capricious Vague Perceptions

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