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Investigation on the Indeterminate Information of Rock Joint Roughness through a neutrosophic number Approach

Computer Modeling in Engineering & Sciences 2021年第11期129卷 973-991页

作者： Changshuo Wang Liangqing Wang Shigui Du Jun Ye Rui Yong Institute of Rock Mechanics Ningbo UniversityNingbo315211China Faculty of Engineering China University of GeosciencesWuhan430074China Department of Civil Engineering Shaoxing UniversityShaoxing312000China

To better estimate the rock joint shear strength,accurately determining the rock joint roughness coefficient(JRC)is the first step faced by researchers and ***,there are incomplete,imprecise,and indeterminate problems during the process of calculating the *** paper proposed to investigate the indeterminate information of rock joint roughness through a neutrosophic number approach and,based on this information,reported a method to capture the incomplete,uncertain,and imprecise information of the JRC in uncertain *** uncertainties in the JRC determination were investigated by the regression correlations based on commonly used statistical parameters,which demonstrated the drawbacks of traditional JRC regression correlations in handling the indeterminate information of the ***,the commonly used statistical parameters cannot reflect the roughness contribution differences of the asperities with various scales,which induces additional indeterminate information.A method based on the neutrosophic number(NN)and spectral analysis was proposed to capture the indeterminate information of the *** proposed method was then applied to determine the JRC values for sandstone joint samples collected from a rock *** comparison between the JRC results obtained by the proposed method and experimental results validated the effectiveness of the ***,comparisons made between the spectral analysis and common statistical parameters based on the NN also demonstrated the advantage of spectral ***,the NN and spectral analysis combined can effectively handle the indeterminate information in the rock joint roughness.

关键词： Rock joint roughness coefficient uncertainty indeterminate information neutrosophic number spectral analysis

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Weighted Parameterized Correlation Coefficients of Indeterminacy Fuzzy Multisets and Their Multicriteria Group Decision Making Method with Different Decision Risks

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Computer Modeling in Engineering & Sciences 2021年第10期129卷 341-354页

作者： Cheng Du Jun Ye Beijing Urban Construction Group Co. Ltd.Beijing100088China School of Civil and Environmental Engineering Ningbo UniversityNingbo315211China

Real-life data introduce noise,uncertainty,and imprecision to statistical projects;it is advantageous to consider strategies to overcome these information expressions and processing ***(indeterminate)numbers can flexibly and conveniently represent the hybrid information of the partial determinacy and partial indeterminacy in an indeterminate setting,while a fuzzy multiset is a vital mathematical tool in the expression and processing of multi-valued fuzzy information with different and/or same fuzzy *** neutrosophic numbers are introduced into fuzzy sequences in a fuzzy multiset,the introduced neutrosophic number sequences can be constructed as the neutrosophic number multiset or indeterminate fuzzy *** based on the idea,this study first proposes an indeterminate fuzzy multiset,where each element in a universe set can be repeated more than once with the different and/or identical indeterminate membership ***,we propose the parameterized correlation coefficients of indeterminate fuzzy multisets based on the de-neutrosophication of transforming indeterminate fuzzy multisets into the parameterized fuzzy multisets by a parameter(the parameterized de-neutrosophication method).Since indeterminate decision-making issues need to be handled by an indeterminate decision-making method,a group decision-making method using the weighted parameterized correlation coefficients of indeterminate fuzzy multisets is developed along with decision makers’different decision risks(small,moderate,and large risks)so as to handle multicriteria group decision-making problems in indeterminate fuzzy multiset ***,the developed group decision-making approach is used in an example on a selection problem of slope design schemes for an open-pit mine to demonstrate its usability and flexibility in the indeterminate group decision-making problem with indeterminate fuzzy multisets.

关键词： Indeterminate fuzzy multiset parameterized correlation coefficient multicriteria group decision making neutrosophic number slope design scheme

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