scholarly journals A New Evaluation Methodology for Quality Goals Extended by D Number Theory and FAHP

Information ◽  
2020 ◽  
Vol 11 (4) ◽  
pp. 206
Author(s):  
Hongming Mo
Keyword(s):  
Number Theory ◽  
Process Management ◽  
Evidence Theory ◽  
Evaluation Methodology ◽  
Uncertain Information ◽  
Mathematical Tool ◽  
Analytic Hierarchy ◽  
Multi Attribute Decision Making ◽  
Hierarchy Process ◽  
Evaluation Information

Evaluation of quality goals is an important issue in process management, which essentially is a multi-attribute decision-making (MADM) problem. The process of assessment inevitably involves uncertain information. The two crucial points in an MADM problem are to obtain weight of attributes and to handle uncertain information. D number theory is a new mathematical tool to deal with uncertain information, which is an extension of evidence theory. The fuzzy analytic hierarchy process (FAHP) provides a hierarchical way to model MADM problems, and the comparison analysis among attributes is applied to obtain the weight of attributes. FAHP uses a triangle fuzzy number rather than a crisp number to represent the evaluation information, which fully considers the hesitation to give a evaluation. Inspired by the features of D number theory and FAHP, a D-FAHP method is proposed to evaluate quality goals in this paper. Within the proposed method, FAHP is used to obtain the weight of each attribute, and the integration property of D number theory is carried out to fuse information. A numerical example is presented to demonstrate the effectiveness of the proposed method. Some necessary discussions are provided to illustrate the advantages of the proposed method.

scholarly journals An Evidential Fractal Analytic Hierarchy Process Target Recognition Method

2018 ◽  
Vol 68 (4) ◽  
pp. 367 ◽  
Author(s):  
Yuzhen Han ◽  
Yong Deng
Keyword(s):  
Analytic Hierarchy Process ◽  
Target Recognition ◽  
Fractal Theory ◽  
Evidence Theory ◽  
Belief Function ◽  
Uncertain Information ◽  
Fusion Algorithm ◽  
Analytic Hierarchy ◽  
Sensory Data ◽  
Hierarchy Process

<p>Target recognition in uncertain environments is a hot issue, especially in extremely uncertain situation where both the target attribution and the sensor report are not clearly represented. To address this issue, a model which combines fractal theory, Dempster-Shafer evidence theory and analytic hierarchy process (AHP) to classify objects with incomplete information is proposed. The basic probability assignment (BPA), or belief function, can be modelled by conductivity function. The weight of each BPA is determined by AHP. Finally, the collected data are discounted with the weights. The feasibility and validness of proposed model is verified by an evidential classifier case in which sensory data are incomplete and collected from multiple level of granularity. The proposed fusion algorithm takes the advantage of not only efficient modelling of uncertain information, but also efficient combination of uncertain information.</p>

Method of Weight Assignment for Multi-Criterion Based on Grey Interval AHP

2011 ◽  
Vol 243-249 ◽  
pp. 5285-5288 ◽  
Author(s):  
Chun Yan Xia ◽  
Yan Jie Liu ◽  
Dong Mei Liu
Keyword(s):  
Uncertain Information ◽  
Analytic Hierarchy ◽  
Interval Numbers ◽  
Weight Assignment ◽  
Relational Degree ◽  
Interval Relation ◽  
Relation Analysis ◽  
Hierarchy Process ◽  
Grey Relation ◽  
Evaluation Information

According to the problem of weight assignment for multi-criterion in uncertain information system, the disadvantage of the traditional analytic hierarchy process (AHP) is analyzed; the Method of weight assignment for multi-criterion based on grey interval AHP is put forward. At first, grey interval numbers are imported as a mean to deal with the evaluation information in the proposed method, the quantitative representation of uncertain information is carried out; the loss of information is decreased. Then, base on grey relation analysis and AHP, the relational degree of each criterion is calculated by using grey interval relation analysis, which reflects the relative important degree of each criterion. The judgment matrix is constructed, which fits in with consistent requirements spontaneously. The weight value of each criterion is achieved. Finally, the evaluation example proves that the proposed method is feasible.

scholarly journals MULTI CRITERIA DECISION MAKING – RANKING AND PROMOTING EMPLOYEES

2019 ◽  
Vol 31 (5) ◽  
pp. 1235-1241
Author(s):  
Marina Badarovska Mishevska
Keyword(s):  
Decision Making ◽  
Decision Problem ◽  
Decision Makers ◽  
Decision Making Process ◽  
Specific Situation ◽  
Mathematical Tool ◽  
Analytic Hierarchy ◽  
The Right ◽  
Term Performance ◽  
Hierarchy Process

The analytic hierarchy process (AHP) is a structured technique for organizing and analyzing complex decisions, based on mathematics and psychology. The method was developed by Thomas L. Saaty in the 1970s and has been extensively studied and refined since then. It has particular application in group decision making and is used around the world in a wide variety of decision situation. Rather than prescribing a "correct" decision, the AHP helps decision makers choose one that best suits their goal and their understanding of the problem. The technique provides a comprehensive and rational framework for structuring a decision problem, for representing and quantifying its elements, for relating those elements to overall goals, and for evaluating alternative solutions. Decision making is the choice of one alternative, from two or more, to which the course of the activity is directed and the problem is solved. The decision-making process is a rational attempt by the manager to achieve the goals of the organizational unit. The decision-making process can be thought of as a "brain and nervous system" of an enterprise. Decisions are made when a person wants things to be different in the future. Given each specific situation, making the right decisions is probably one of the most difficult challenges for managers. Managers in day-to-day work deliver programmed and unprogrammed decisions that solve simple or complex problems. Simple decisions have an impact on the short-term performance of the enterprise, and complex decisions have an impact on the long-term future and success of the enterprise. Users of the AHP first decompose their decision problem into a hierarchy of more easily comprehended sub-problems, each of which can be analyzed independently. Once the hierarchy is built, the decision makers systematically evaluate its various elements by comparing them to each other two at a time, with respect to their impact on an element above them in the hierarchy. The AHP converts these evaluations to numerical values that can be processed and compared over the entire range of the problem. In this article, it is explained the application of the AHP method in order to evaluate and promote employees in the enterprise "X" with several criteria. The obtained results enable the manager to evaluate the employees in an objective way and make an objective decision for their promotion. Its application for selecting the best among employees, in their assessment and promotion, allows managers to use a specific and mathematical tool to support the decision. This tool not only supports and qualifies decisions, it also allows managers to justify their choice, as well as to simulate possible results.

Probabilistic Linguistic Analytic Hierarchy Process and Its Application on the Performance Assessment of Xiongan New Area

2018 ◽  
Vol 17 (06) ◽  
pp. 1693-1724 ◽  
Author(s):  
Wanying Xie ◽  
Zeshui Xu ◽  
Zhiliang Ren ◽  
Hai Wang
Keyword(s):  
Decision Making ◽  
Analytic Hierarchy Process ◽  
Uncertain Information ◽  
Decision Matrix ◽  
Analytic Hierarchy ◽  
Decision Tools ◽  
Probabilistic Linguistic Term Set ◽  
Complex Decision Making ◽  
The Individual ◽  
Hierarchy Process

Analytic Hierarchy Process (AHP) is one of the most favorable decision tools for dealing with complex decision-making problems. Probabilistic linguistic term set (PLTS) is an up-to-date tool to deal with uncertain information in the decision-making process. In this paper, we extend the AHP to the probabilistic linguistic environment for perfecting the modeling ability of AHP in various decision-making problems. In order to apply the PLTSs to the AHP properly, we first redefine the probabilistic linguistic comparison matrix (PLCM) and propose a new consistency index. Then, we propose a new approach to check and improve the consistency of the PLCMs. After that, we aggregate the individual PLCMs into the collective PLCM and derive the priorities of the collective PLCM. Finally, we combine the priorities with the decision matrix to complete the ranking of alternatives, and a case concerning the performance assessments of three new areas is given and the comparative analysis about the results is performed to demonstrate the feasibility of the proposed method.

Fuzzy Analytic Hierarchy Process and Its Application to E-Marketplace Selection

2013 ◽  
pp. 26-44 ◽  
Author(s):  
Beyza Ahlatcioglu Ozkok ◽  
Elisa Pappalardo
Keyword(s):  
Decision Making ◽  
Analytic Hierarchy Process ◽  
Fuzzy Ahp ◽  
Multi Criteria Decision Making ◽  
Linguistic Variables ◽  
Analytic Hierarchy ◽  
Multi Attribute Decision Making ◽  
Electronic Parts ◽  
Hierarchy Process

Making decisions is a part of daily life. The nature of decision-making includes multiple and usually conflicting criteria. Multi Criteria Decision-Making (MCDM) problems are handled under two main headings: Multi Attribute Decision Making (MADM) and Multi Objective Decision Making (MODM). Analytic Hierarchy Process (AHP) is a widely used multi-criteria decision making approach and has successfully been applied to many practical problems. Traditional AHP requires exact or crisp judgments (numbers). However, due to the complexity and uncertainty involved in real world decision problems, decision makers might be more reluctant to provide crisp judgments than fuzzy ones. Furthermore, even when people use the same words, individual judgments of events are invariably subjective, and the interpretations that they attach to the same words may differ. This is why fuzzy numbers and fuzzy sets have been introduced to characterize linguistic variables. Here, the authors overview the most known fuzzy AHP approaches and their application, and they present a case study to select an e-marketplace for a firm, which produces and sells electronic parts of computers in Turkey.

scholarly journals A MULTI-ATTRIBUTE DECISION SUPPORT MODEL FOR THE SELECTION OF TOURISTIC ACTIVITIES

2015 ◽  
Vol 7 (3) ◽  
Author(s):  
Sait Gul ◽  
Ilker Topcu
Keyword(s):  
National Income ◽  
Decision Support Model ◽  
Ahp Method ◽  
Analytic Hierarchy ◽  
Proposed Model ◽  
Order Preference ◽  
Multi Attribute Decision Making ◽  
National Economies ◽  
Hierarchy Process ◽  
Selection Of

<p>People who wish to travel or participate in a touristic activity often do not have certain information about available travel destinations, group tours, and touristic events. Furthermore, they have their own personal expectations and preferences, especially regarding time and budget limitations. Therefore, they do not want to spend their limited time collecting information about travelling instead of actually travelling. Besides, the individualistic dimensions of tourism planning and marketing studies have a significant importance on national economies all over the world, particularly for nations whose tourism income is becoming a bigger share of their total national income. This study aims to develop a touristic suggestion model for tourist candidates with regards to their personal expectations and preferences about tourism. The Analytic Hierarchy Process (AHP) and Technique for Order Preference by Similarity to Ideal Solution TOPSIS multi-attribute decision-making methods are used in this study to analyze the problem. The proposed model was built in three main phases: structuring, modeling and analyzing. The AHP method was used for prioritizing the related criteria obtained from the tourist candidates, and then TOPSIS was used for assessing global preference of alternatives. Finally, a recommendation to the decision maker is made with the most appropriate alternative.</p>

scholarly journals Rank-Based Comparative Research Flow Benchmarking the Effectiveness of AHP–GTMA on Aiding Decisions of Shredder Selection by Reference to AHP–TOPSIS

2018 ◽  
Vol 8 (10) ◽  
pp. 1974 ◽  
Author(s):  
Zheng-Yun Zhuang ◽  
Chang-Ching Lin ◽  
Chih-Yung Chen ◽  
Chia-Rong Su
Keyword(s):  
Comparative Research ◽  
Rank Order ◽  
Future Research ◽  
Analytic Hierarchy ◽  
Purchase Order ◽  
Commercial Practice ◽  
Recent Approach ◽  
Selection Decision ◽  
Multi Attribute Decision Making ◽  
Hierarchy Process

The AHP–GTMA (analytic hierarchy process and graph theory and matrix approach) has been applied to select the best paper shredder before a company was making a bulk purchase order. However, there is a question as to whether one such relatively recent approach is effective to aid the selection decision problems in industrial/commercial practice. In this paper, a novel multi-measure, rank-based comparative research flow is proposed. The real decision problem case mentioned above is solved using the AHP–GTMA and the AHP–TOPSIS methods, respectively, with relevant datasets sourced. Several measures in the proposed flow, i.e., the arithmetical, geometrical, or even statistical ones, are multiplexed and used to validate the similarity between the rank order vectors (ROVs) (and thus between the final preferential orders determined over the alternatives) that are obtained using these two different methods. While AHP–TOPSIS is a confident multi-attribute decision-making (MADM) approach which has been successfully applied to many other fields, the similarity validated between these individual results using the proposed method is used to confirm the efficacy of the AHP–GTMA approach and to determine its applicability in practice. In addition, along with this study, some contributable points are also rendered for implementing the decision models, e.g., the optimized recursive implementation in R to compute the permanent value of a square ASAM (alternative selection attribute matrix, which is the computational basis required by AHP–GTMA) of any dimension. The proposed methodological flow to confirm the similarity based on the ordinal rank information is not only convenient in operational practice with ubiquitous tool supports (e.g., the vector-based R statistical platform), but also generalizable (to verify between another pair of results obtained using any other MADM methods). This gives options for future research.

Urban Competitiveness Measure Analysis of Jinan and Qingdao Cities

2011 ◽  
Vol 219-220 ◽  
pp. 1537-1540
Author(s):  
Guang Yi Zhang ◽  
Xiao Hui Li ◽  
Ping Zhang
Keyword(s):  
Comparative Analysis ◽  
Analytic Hierarchy Process ◽  
Evaluation Methodology ◽  
Analytic Hierarchy ◽  
Shandong Peninsula ◽  
Harmonious Development ◽  
Urban Competitiveness ◽  
Dynamic Evaluation ◽  
Measure Analysis ◽  
Hierarchy Process

The comparative analysis of Jinan and Qingdao which are located in Shandong peninsula is made with the purpose of improving urban competitiveness of these two most influential cities and reinforcing Shandong province’s macroeconomic strength accordingly. The analytic hierarchy process (AHP) methodology is applied to structure an urban competitiveness model. Furthermore, a dynamic evaluation of both cities is conducted based on evaluation methodology involving factorial analysis and AHP, which is followed by strategic proposals beneficial to both of them and is thus conducive to the region’s economic harmonious development.

scholarly journals An Emergency Decision-Making Method for Probabilistic Linguistic Term Sets Extended by D Number Theory

Symmetry ◽  
2020 ◽  
Vol 12 (3) ◽  
pp. 380 ◽  
Author(s):  
Hongming Mo
Keyword(s):  
Decision Making ◽  
Number Theory ◽  
Linguistic Term ◽  
Probabilistic Linguistic Term Sets ◽  
Emergency Decision Making ◽  
Multi Attribute Decision Making ◽  
Property Losses ◽  
Emergency Decision ◽  
Future Work ◽  
Evaluation Information

Emergency decision-making has become as one of the hot issues in recent years. The aim of emergency decision-making is to reduce the casualties and property losses. All the processes of emergency decision-making are full of incompleteness and hesitation. The problem of emergency decision-making can be regarded as one of the multi-attribute decision-making (MADM) problems. In this manuscript, a new method to solve the problem of emergency decision-making named D-PLTS is proposed, based on D number theory and the probability linguistic term set (PLTS). The evaluation information given by experts is tidied to be the form of PLTS, which can be directly transferred to the form of the D number, no matter whether the information is complete or not. Furthermore, the integration property of D number theory is carried out to fuse the information. Besides, two examples are given to demonstrate the effectiveness of the proposed method. Compared with some existing methods, the D-PLTS is more straightforward and has less computational complexity. Allocation weights that are more reasonable is the future work for the D-PLTS method.

A Integrated Methodology for Product Life Cycle Design

2011 ◽  
Vol 308-310 ◽  
pp. 442-449
Author(s):  
Zhi Guo Yan ◽  
Jiang Yang ◽  
Ai Guo Xuan ◽  
Yuan Xin Wu
Keyword(s):  
Decision Making ◽  
Life Cycle ◽  
Product Life Cycle ◽  
Chemical Product ◽  
Analytic Hierarchy ◽  
Life Cycle Design ◽  
Economical Evaluation ◽  
Multi Attribute Decision Making ◽  
Hierarchy Process ◽  
Chemical Product Design

With the increasing public environmental consciousness, chemical product design requires simultaneous satisfaction and compromise of environmental and economic performance. To fulfill the two conflicting while complementary objectives, a systematic approach for life cycle design of chemical product is proposed in this paper. Multi-attribute decision-making is adopted in a trade-off consideration of both technical-economical evaluation and environment impacts assessment with the analytic hierarchy process approach. Based on the evaluation of relative importance of criteria, multi-criteria decision making is performed.

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