Baywood Publishing Company
0047-2433
1541-3802
Journal of Environmental Systems
BWES
300323
http://baywood.metapress.com/link.asp?target=journal&id=300323
28
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4
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000028000420010401
Number 4/2000-2001
6CC6LH82T58A
http://baywood.metapress.com/link.asp?target=issue&id=6CC6LH82T58A
10.2190/DHL5-PJ7A-P267-JD8W
DHL5PJ7AP267JD8W
175
NUMERIC ORDERED WEIGHTED AVERAGING OPERATORS: POSSIBILITIES FOR ENVIRONMENTAL PROJECT EVALUATION
175
191
20020923
20020923
20020923
20020923
DHL5PJ7AP267JD8W.pdf
http://baywood.metapress.com/link.asp?target=contribution&id=DHL5PJ7AP267JD8W
4
P. N.
SMITH
The University of Queensland, St. Lucia, Australia
This article outlines aspects of ordered weighted averaging (OWA) aggregation operators in the evaluation of alternative projects with environmental consequences. OWA operators generalize the conventional maximum and minimum aggregation operators commonly use to aggregate fuzzy subsets, here representing the degree of "satisfaction" of factors/impacts by a set of discrete projects. A simple example drawn from Horsak and Damico is given which involves the location of a hazardous waste disposal facility at one of three sites based on ten factors [1]. OWA operators are considered in the context of the aggregation of factors/impacts and the importance weight of those factors/impacts. Consideration is given to maximum entropy OWA (ME-OWA), exponential OWA (E-OWA), and weighted ordered weighted averaging (WOWA) operators, in addition to quantified statements implemented by OWA operators. OWA aggregation operators are considered in the context of the above illustrative example. It is concluded that OWA operators have considerable potential in providing a framework for the aggregation of fuzzy subsets in the evaluation of projects with environmental consequences.
L. A. Zadeh, Fuzzy Sets, Information and Control, 8, pp. 338-353, 1965.
P. N. Smith, Environmental Project Evaluation Based on Fuzzy Relational Equations, Journal of Environmental Systems, 27, pp. 113-125, 1999.
R. R. Yager, A Note on Weighted Queries in Information Retrieval Systems, Journal of the American Society of Information Science, 38, pp. 23-24, 1987.
G. Anandalingam and M. Westfall, Selection of Hazardous Waste Disposal Alternatives using Multiattribute Utility Theory and Fuzzy Set Theory, Journal of Environmental Systems, 18, pp. 69-85, 1988.
J. C. Santamarina and J.-L. Chameau, Membership Functions I: Trends in Fuzziness and Implications, International Journal of Approximate Reasoning, 1, pp. 303-317, 1987.
T. Terano, K. Asai, and M. Sugeno, Fuzzy Systems Theory and its Applications, Academic Press, New York, 1987.
B. Kosko, Fuzziness vs. Probability, International Journal of General Systems, 17, pp. 211-240, 1990.
R. R. Yager, Including Importances in OWA Aggregations Using Fuzzy Systems Modelling, IEEE Transactions on Fuzzy Systems, 6, pp. 286-294, 1998.
V. Torra, The Weighted OWA Operator, International Journal of Intelligent Systems, 12, pp. 153-166, 1997.
C. Carlsson, R. Full3r, and S. Full3r, OWA Operators for Doctoral Student Selection Problems, in The Ordered Weighting Averaging Operators: Theory and Applications, R. R. Yager and J. Kacprzyk (eds.), Kluwer Academic, Boston, pp. 167-177, 1997.
V. Torra, Weighted OWA Operators for Synthesis of Information, Proceedings of the Fifth International Conference on Fuzzy Systems, FUZZ-IEEE '96, New Orleans, Louisiana, pp. 966-971, 1996.
R. R. Yager, Database Discovery Using Fuzzy Sets, International Journal of Intelligent Systems, 11, pp. 691-712, 1996.
R. R. Yager, Quantifier Guided Aggregation Using OWA Operators, International Journal of Intelligent Systems, 11, pp. 49-73, 1996.
L. A. Zadeh, A Computational Approach to Fuzzy Quantifiers in Natural Language, Computing Mathematical Applications, 9, pp. 149-184, 1983.
R. R. Yager, Families of OWA Operators, Fuzzy Sets and Systems, 59, pp. 125-148, 1993.
D. P. Filev and R. R. Yager, Learning OWA Operator Weights from Data, Proceedings of the 3rd IEEE Conference on Fuzzy Systems, pp. 468-473, 1994.
G. Bordogna, M. Fedrizzi, and G. Pasi, A Linguistic Modelling of Consensus in Group Decision Making Based on OWA Operators, IEEE Transactions on Systems, Man, and Cybernetics, Part A: Systems and Humans, 27, pp. 126-152, 1997.
R. R. Yager, Interpreting Linguistic Quantified Propositions, International Journal of Intelligent Systems, 9, pp. 541-569, 1994.
R. Horsak and S. Damico, Selection and Evaluation of Hazardous Waste Disposal Sites Using Fuzzy Set Analysis, Journal of the Air Pollution Control Association, 35, pp. 1081-1085, 1985.
M. Zeleny, Multiple Criteria Decision Making, McGraw-Hill, New York, 1982.
T. L. Saaty, Exploring the Interface Between Hierarchies, Multiple Objectives and Fuzzy Sets, Fuzzy Sets and Systems, 1, pp. 57-68, 1978.
J.-L. Chameau and J. C. Santamarina, Membership Functions I: Comparing Methods of Measurement, International Journal of Approximate Reasoning, 1, pp. 287-301, 1987.
W. Pedrycz and F. Gomide, An Introduction to Fuzzy Sets: Analysis and Design, MIT Press, Cambridge, Massachusetts, 1998.
T. L. Saaty, Measuring the Fuzziness of Sets, Journal of Cybernetics, 4, pp. 57-68, 1974.
D. Filev and R. R. Yager, Analytical Properties of Maximum Entropy OWA Operators, Information Science, 85, pp. 11-27, 1995.
A. Kaufmann, Introduction to Fuzzy Subsets, Vol. 1, Academic Press, New York, 1975.
R. R. Yager, Fuzzy Decision Making Including Unequal Objectives, Fuzzy Sets and Systems, 1, pp. 87-95, 1978.
R. R. Yager, On Ordered Weighted Averaging Aggregation Operators in Multi-criteria Decision Making, IEEE Transactions on Systems, Man and Cybernetics, 18, pp. 183-190, 1988.
P. N. Smith, A Fuzzy Logic Method for Environmental Assessment, Journal of Environmental Systems, 24, pp. 275-298, 1995-96.