The construction project management (CPM) is very important and large segment of entire project management (PM). Realisation of construction projects is usually long term process which requests significant financial, material, human and other resources to fulfil contracted obligations and achieve a good quality of works. Therefore, making good decisions with the satisfaction of various criteria is one of the main conditions to achieve planed business objectives and finish the project in contracted time with good quality. This paper proposes a new procedure for determination of the weights of criteria and alternatives in the Fuzzy analytic hierarchy process (FAHP) with trapezoidal fuzzy number using a new method for finding eigenvelues and eigenvectors of the criteria and alternatives, which is based on expected values of the fuzzy numbers and their products. Local and global fuzzy weights of the alternatives are determined using linear programming. In the paper a formula for ranking fuzzy numbers by reduced generalized fuzzy mean is also proposed, since ranking by the coefficient of variation is not always reliable. In the presented case study, applying proposed method, from imprecise input data are obtained enough accurate and useful results for rational ranking of alternatives related to the project realization.
PurposeThe purpose of this paper is to present one modification of the fuzzy TOPSIS (Technique for Order Preference by Similarity to Ideal Solution) and to develop a corresponding computer program which could be used for the multicriteria decision making for problems in practice.Design/methodology/approachThis method is based on the uncertainties and probabilities of input data for ratings of alternatives with respect to criteria and weights of criteria that are presented by triangular fuzzy numbers as probabilistic fuzzy values. These input data are transformed in the procedure into output data that are relevant for the ranking of alternatives and decision making.FindingsThe proposed method is based on the generalized mean and spread of fuzzy numbers that are calculated according to probability of fuzzy events due to Zadeh. Ranking of alternatives for relevant criteria performs according to relative expected closeness, coefficient of variation and relative standard deviation of distance of alternatives to the ideal solutions. The most acceptable rule is related to the minimal value of the expected relative distance to positive ideal solution, especially when the coefficient of variation of distance to this solution is small. The attached example, related to a real project, confirms these findings.Originality/valueThis paper proposes three novel contributions in this area. Unlike the methods proposed by other authors, the weighted fuzzy decision matrix is expressed by the matrix of generalized expected values and matrix of generalized variances. To compute elements of these two matrices, exact formulae are derived and then the modified fuzzy TOPSIS procedure is carried out.
Original scientific paper The Analytic Hierarchy Process (AHP) has found wide application for multicriteria decision making (MCDM) in various areas. In the paper is given a short survey of the AHP application for decision making in the construction industry and realisation of construction projects. Authors have proposed a method based on the eigenvalue and eigenvector of the fuzzy comparison matrices for determination of local and global priorities of decision alternatives. These eigenvalues are determined using expected values of fuzzy numbers and their products. These fuzzy eigenvalues and eigenvectors are in further procedure applied for ranking the alternatives. Comparing the final ranks of alternatives, obtained according to proposed method and some other methods, the authors found good agreement. The fuzzy AHP, in comparison with AHP with crisp numbers, gives more complete, flexible and realistic results. A case study of the optimal selection of the structural system for a large industrial hall is presented in the paper. Keywords: construction industry; fuzzy AHP; fuzzy number; multicriteria decision making Primjena neizrazite AHP metode utemeljene na vlastitim vrijednostima za donošenje odluka u građevinarstvuIzvorni znanstveni članak Analitički hijerarhijski proces (AHP) našao je široku primjenu za višekriterijsko donošenje odluka (MCDM) u različitim područjima. U radu je dan kratak osvrt na primjenu AHP metode za donošenje odluka u građevinarstvu i realizaciji građevinskih projekata. Autori su predložili metodu za određivanje vlastitih vrijednosti i vlastitih vektora neizrazitih (fuzzy) matrica komparacije za nalaženje lokalnih i globalnih prioriteta alternativa odlučivanja. Vlastite vrijednosti se određuju uporabom očekivane vrijednosti neizrazitih (fuzzy) brojeva i njihovih produkata. Dobivene vlastite vrijednosti i vlastiti vektori se u daljnjoj proceduri primjenjuju za rangiranje alternativa. Uspoređujući konačne rangove alternativa koji su dobiveni prema predloženoj metodi i nekim drugim metodama, autori su našli dobru suglasnost. AHP sa neizrazitim brojevima, u uspoređenju sa AHP sa izrazitim brojevima, daje kompletnije, fleksibilnije i realističnije rezultate. U radu je priložena studija slučaja optimalnog izbora konstruktivnog sustava jedne industrijske hale.
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