Fuzzy Consistent Matrix Research Articles

MULTI-LEVEL, MULTI-FACTOR OPTIMIZATION IN DECISION MAKING FOR EMERGENCY TREATMENT OF QUAKE LAKES

One hundred and thirty three quake lakes were formed in Wenchuan Earthquake of May 12. There may be several or even a dozen quake lakes in the same drainage basin. During the emergency treatment of quake lakes, due to constraints of resources and time, it is often imperative to select one or a few quake lakes of high priority in the same drainage basin for treatment in order for the entire drainage basin to safely pass the flood season. There are many factors involved in the optimization of emergency treatment project of quake lakes and these factors are usually of different nature. This article proposes to use a multi-level, multi-factor optimization method in decision making of emergency treatment of quake lakes based on the concept and operation properties of fuzzy-consistent matrix. This method is convenient and practical when many qualitative factors are involved and the determination of membership function is difficult. A case study was conducted for the 16 quake lakes on the Mianyuan River by using the proposed method. Three quake lakes selected according to case study results went through emergency treatment before the 2009 flood season, helping the entire Mianyuan River safely pass the 2009 flood season.

An Application of the FAHP to High-Rise Building Fire Risk Indexes Analyzing

At present, there are a lot of means analyzing high-rise building fire risk index, but few of these combine the multi-criteria decision and the fuzzy evaluation. The Analytical hierarchical process (AHP) doesn’t consider the fuzziness of people's judgment, and the consistency test is very difficult. This paper will combine related principles of fuzzy mathematics with the AHP, by establishing fuzzy consistent judgment matrix to make high-rise building risk factors’ weight sequencing more accuracy and rational. The paper will also put forward its own views and suggestions in order to attract the attention of the concerned departments, so that the incidence of high-rise building fires can be reduced.

A First-order Method to Identify Potentially Dangerous Glacial Lakes in a Region of the Southeastern Tibetan Plateau

Though glacial lake outburst floods have become an urgent issue on the Tibetan Plateau, no standardized methods have been proposed so far to identify and prioritize potentially dangerous glacial lakes (PDGLs). Here, we developed a first-order approach to identify PDGLs in the Boshula Mountain Range, southeastern Tibetan Plateau. Five variables—mother glacier area, distance between lake and glacier terminus, slope between lake and glacier, mean slope of moraine dam, and mother glacier snout steepness—were selected to identify PDGLs on the basis of four criteria we suggested. A fuzzy consistent matrix method was then applied to determine the weight of variables, and characteristic statistical values were used as thresholds to classify each variable. Out of 78 moraine-dammed lakes studied, we identified 8 glacial lakes as potentially very highly dangerous. We also validated our approach with 6 drained glacial lakes inside and outside our study area. Successfully identifying them as potentially very highly and/or highly dangerous lakes demonstrates the validity of the method.

Study of SEA Indicators System of Urban Green Electricity Power Based on Fuzzy AHP and DPSIR Model

In order to make the urban green electricity power a scientific, systematic and intuitive evaluation system, this paper briefly introduces the content and significance of green electricity, the research background, guidance significance and considerations of Strategic Environmental Assessment (SEA), the content and relationship between related factors of DPSIR framework model, the construction and correction of fuzzy complementary matrix and fuzzy consistent matrix. This paper applies the DPSIR framework model of Strategic Environmental Assessment to the evaluation of urban green electricity power. Based on applying fuzzy analytic hierarchy process (FAHP) method to determine the weight of each factor, this paper first establishes a more comprehensive and operational indicators evaluation system of urban green electricity power.

Research on emerging technology selection and assessment by technology foresight and fuzzy consistent matrix

PurposeThe purpose of this paper is to propose a new hybrid approach based on technology foresight and a fuzzy consistent matrix to select and assess emerging technologies.Design/methodology/approachThrough introducing technology foresight into emerging technology selection and assessment, an industrialization potential assessment indexes system of emerging technologies is constructed, and general procedures to assess the industrialization potential of emerging technologies based on technology foresight and a fuzzy consistent matrix are presented.FindingsIn this paper, assessment of the industrialization potential of nine different emerging technologies is provided to illustrate the application of the method. These results show that technology 1 has the best performance on industrialization potential, and technology 2 has better performance on the industrialization potential.Practical implicationsThis paper is of interest for emerging technology selection and assessment practitioners and policymakers at the industrial and government levels.Originality/valueThis paper proposes a new hybrid approach of emerging technology selection and assessment based on technology foresight and a fuzzy consistent matrix.

An efficient method for identification of risk factors

This paper presents a method to identify risk factors during bridge construction. The method integrates the concepts of analytical hierarchy process and fuzzy consistent matrix method. The advantage of the method is that instead of using 9-point scale of relative importance of the conventional analytical hierarchy process, it uses a 3-point scale to describe the scale of importance, thus greatly simplifying the identification problem of risk factors. Moreover, the difficulties of making judgment and comparison caused by uncertainty that jeopardizes the accuracy of the results in the conventional analytical hierarchy process can also be overcome. Another advantage of the method is that it does not involve consistency checking, thus saving a large amount of CPU time. It has been demonstrated with a numerical example that the proposed fuzzy analytical hierarchy process based on 3-point scale can offer significant computational savings over the conventional analytical hierarchy process.

Computer-aided process planning based on automatic fuzzy comprehensive evaluation

There is strong contradiction in the traditional evaluation of processes in terms of diversity of manufactured goods, discreteness of manufacturing processes, complexity of the environment of manufacture, and variability of the market. It is essential to meet the need for an automatic, time-saving, accurate, and optimal evaluation of processes. The current study was aimed at fuzzy auto-evaluation, taking the processes for the parts as (a) subject investigated, (b) structuring evaluation system, and (c) method of processes in computer-aided production planning (CAPP) based on fuzzy mathematics. On analysis and comparison, the automatic fuzzy comprehensive evaluation system was built based on the following factors: set, the weight set and assessment set, and the single factor: proposed comprehensive fuzzy evaluation. The membership degree was determined with fuzzy statistics, and the weight of various factors was determined by the fuzzy consistent matrix. A combination of theoretical analysis, practical experience, goals of evaluation, and factors set for processes was accomplished by extracting the factors that impacted evaluation of processes; weight set was established based on different weights that each factor impacting on the extent of technology programs gave; the assessment set was gained with a factor matrix which the expert group provided for every factor; the fuzzy evaluation matrix was obtained with a matrix calculation according to the model M (∧, ∨). The process grade was determined according to the principle of maximum membership degree. The process evaluation would automatically be realized through the evaluation system with the VC++ program after weights of various factors from the experts in the field were added. The optimum process was eventually obtained by comparing the grades of these processes. Three feasible processes of a disc-like component, as an example, were evaluated through this evaluation system, realizing the automatic evaluation of processes and obtaining the best process.

The construction and combined operation for fuzzy consistent matrixes

Fuzziness is one of the general characteristics of human thinking and objective things. Introducing fuzzy techniques into decision-making yields very good results. Fuzzy consistent matrix has many excellent characteristics, especially center-division transitivity conforming to the reality of the human thinking process in decision-making. This paper presents a new approach for creating fuzzy consistent matrix from mutual supplementary matrix in fuzzy decision-making. At the same time, based on the distance between individual fuzzy consistent matrix and average fuzzy consistent matrix, a kind of combined operation for several fuzzy consistent matrixes is presented which reflects most opinions of experienced experts. Finally, a practical example shows its flexibility and practicability further.