A Fuzzy Weights Representation for Inner Dependence AHP

2011 ◽  
Vol 15 (3) ◽  
pp. 329-335 ◽  
Author(s):  
Shin-ichi Ohnishi ◽  
◽  
Takahiro Yamanoi ◽  
Hideyuki Imai ◽  
Keyword(s):  
Decision Making ◽  
Sensitivity Analysis ◽  
Analytic Hierarchy Process ◽  
Fuzzy Sets ◽  
Analytic Hierarchy ◽  
Comparison Matrix ◽  
Fuzzy Representation ◽  
Individual Criterion ◽  
Fuzzy Weights ◽  
Hierarchy Process

The Analytic Hierarchy Process (AHP) proposed by T. L. Saaty has been widely used in decision making. Inner dependence method AHP is used for cases in which criteria are not independent enough. Using the original AHP or inner dependence AHP may cause results to lose reliability because the comparison matrix is not necessarily sufficiently consistent. In such cases, fuzzy representation for weighting criteria using results from sensitivity analysis is useful. We present weights of normal AHP criteria via fuzzy sets, then calculate modified fuzzy weights of inner dependence methods. We also get overall weights of alternatives based on certain assumptions. Results show the fuzziness of inner dependence AHP if the comparison matrix is not sufficiently consistent and individual criterion do not have enough independence.

Hybrid analytic hierarchy process-based quantitative satisfaction propagation in goal-oriented requirements engineering through sensitivity analysis

2020 ◽  
Vol 16 (4) ◽  
pp. 433-462
Author(s):  
Sreenithya Sumesh ◽  
Aneesh Krishna
Keyword(s):  
Decision Making ◽  
Sensitivity Analysis ◽  
Analytic Hierarchy Process ◽  
Requirements Engineering ◽  
Input Parameter ◽  
Coarse Grained ◽  
Analytic Hierarchy ◽  
Telemedicine System ◽  
The Impact ◽  
Hierarchy Process

In the early phase of Requirements Engineering (RE), Goal-Oriented Requirements Engineering (GORE) has been found to be a valuable tool. GORE plays a vital role in requirements analysis such as alternative selection decision-making process. This is carried out to determine the practicability and effectiveness of alternative approaches to arriving at quality goals. Most GORE models handle alternative selection based on an extremely coarse-grained qualitative approach, making it impossible to distinguish two alternatives. Many proposals are based on quantitative alternative choices, yet they do not offer a clear decision-making judgement. We propose a fuzzy-based quantitative approach to perform goal analysis using inter-actor dependencies in the i* framework, thereby addressing the ambiguity problems that arise in qualitative analysis. The goal analysis in the i* framework was performed by propagating the impact and weight values throughout the entire hierarchy of an actor. In this article, the Analytic Hierarchy Process (AHP) is adapted with GORE to discuss the evaluation of alternative strategies of the i* goal model of interdependent actors. By using a quantitative requirement prioritisation method such as the AHP, weights of importance are assigned to softgoals to obtain a multi-objective optimised function. The proposed hybrid method measures the degree of contribution of alternatives to the fulfillment of top softgoals. The integration of AHP with goal anlaysis helps to measure alternative options against each other based on the requirements problem. This approach also includes the sensitivity analysis, which helps to check the system behaviour for change in input parameter. Hence, it facilitates decision-making for the benefit of the requirements’ analyst. To explain the proposed solution, this paper considers a telemedicine system case study from the existing literature.

scholarly journals An Integrated Approach of Analytic Hierarchy Process and Triangular Fuzzy Sets for Analyzing the Park-and-Ride Facility Location Problem

Symmetry ◽  
2020 ◽  
Vol 12 (8) ◽  
pp. 1225 ◽  
Author(s):  
Jairo Ortega ◽  
János Tóth ◽  
Sarbast Moslem ◽  
Tamás Péter ◽  
Szabolcs Duleba
Keyword(s):  
Decision Making ◽  
Analytic Hierarchy Process ◽  
Fuzzy Sets ◽  
Facility Location ◽  
Public Transport ◽  
Location Problem ◽  
Facility Location Problem ◽  
Analytic Hierarchy ◽  
Park And Ride ◽  
Hierarchy Process

A park and ride (P&R) system is a set of facilities where private vehicle users can transfer to public transport to complete their journey. The main advantage of the system is reducing the congestions problem in the central business district (CBD). Thus, the notion of symmetry is particularly important in multi-criteria decision aid (MCDA) because they are basic characteristics of the binary relationships used in modelling the preferences of decision-makers. The focal point of this study is evaluating the P&R facility system location problem from the experts’ point of view. For this aim, an integrated multicriteria decision-making (MCDM) methodology is proposed to evaluate the location of the facilities of the P&R system. The questionnaire survey was designed and estimated by 10 transport experts in the related field. The famous analytic hierarchy process (AHP) was adopted in a fuzzy environment, where the fuzzy sets have an efficient ability to manage the vague concepts in a specific way; moreover, it can mitigate the evaluator reasoning during decision-making. The hierarchical structure of the problem was established to evaluate a real-life problem in Cuenca city, Ecuador. The outcomes highlighted the “accessibility of public transport” as the most significant issue in the P&R facility location problem. The obtained results provide more flexible facilities than the pure AHP method.

CONSISTENCY OF JUDGEMENT MATRIX AND FUZZY WEIGHTS IN FUZZY ANALYTIC HIERARCHY PROCESS

1995 ◽  
Vol 03 (01) ◽  
pp. 35-46 ◽  
Author(s):  
XUZHU WANG ◽  
E.E. KERRE ◽  
D. RUAN
Keyword(s):  
Decision Making ◽  
Analytic Hierarchy Process ◽  
Average Method ◽  
Fuzzy Analytic Hierarchy Process ◽  
Analytic Hierarchy ◽  
Geometric Average ◽  
Judgement Matrix ◽  
Definition Of ◽  
Fuzzy Weights ◽  
Hierarchy Process

In this paper we introduce a definition of consistency of the judgement matrix in the fuzzy Analytic Hierarchy Process (AHP) and give a general expression of all fuzzy weights under the condition of consistency. Finally, based on our discussion, the geometric average method is suggested for fuzzy weights calculation in the practical decision-making situation.

scholarly journals REFLECTIONS: MATHEMATICAL PRINCIPLES OF DECISION MAKING

2017 ◽  
Vol 9 (3) ◽  
Author(s):  
Birsen Karpak
Keyword(s):  
Decision Making ◽  
Resource Allocation ◽  
Sensitivity Analysis ◽  
Analytic Hierarchy Process ◽  
Analytic Network Process ◽  
Time Dependent ◽  
Pairwise Comparisons ◽  
Analytic Hierarchy ◽  
Network Process ◽  
Hierarchy Process

This article discusses my reflections on Mathematical Principles of Decision Making by Thomas Saaty  (Saaty T. L., 2010). In this book, Saaty very clearly explains his Analytic Hierarchy Process (AHP) theory for measuring both tangible and intangible factors. Experts judgments are elicited about the dominance of a factor over another one via pairwise comparisons using an absolute scale and priorities of the factors are derived. The important concepts of the AHP such as compatibility index, validation, sensitivity analysis for testing the robustness of the priorities derived, and its generalization to structures with dependence and feedback, and the Analytic Network Process (ANP) are given. Extensions of the theory to complex decisions involving benefits, opportunities, costs and risks and applications to resource allocation and conflict resolution are included, as well as the generalization to continuous and time dependent judgments is also covered.https://doi.org/10.13033/ijahp.v9i3.521  

On Moderate Fuzzy Analytic Hierarchy Process Pairwise Comparison Model With Subcriteria

2016 ◽  
Vol 2 (3) ◽  
pp. 54
Author(s):  
G. Marimuthu ◽  
G. Ramesh
Keyword(s):  
Decision Making ◽  
Analytic Hierarchy Process ◽  
Fuzzy Ahp ◽  
Pairwise Comparison ◽  
Decision Models ◽  
Fuzzy Analytic Hierarchy Process ◽  
Analysis Method ◽  
Analytic Hierarchy ◽  
Comparison Model ◽  
Hierarchy Process

Decisions usually involve the getting the best solution, selecting the suitable experiments, most appropriate judgments, taking the quality results etc., using some techniques.  Every decision making can be considered as the choice from the set of alternatives based on a set of criteria.  The fuzzy analytic hierarchy process is a multi-criteria decision making and is dealing with decision making problems through pairwise comparisons mode [10].  The weight vectors from this comparison model are obtained by using extent analysis method.  This paper concern with an alternate method of finding the weight vectors from the original fuzzy AHP decision model (moderate fuzzy AHP model), that has the same rank as obtained in original fuzzy AHP and ideal fuzzy AHP decision models.

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