Dariusz Kacprzak
ARTICLE

(Polish) PDF

ABSTRACT

The paper presents a new approach to the fuzzy SAW method, which uses fuzzy entropy. It allows to identify the best alternative by the application FSAW method if decision makers use fuzzy numbers or linguistic variables. Moreover, the presented method allows to avoid subjectivity and imprecision caused by incomplete knowledge, judgments, opinions and preferences of decision makers.

KEYWORDS

fuzzy numbers, SAW method, entropy, objective weights, linguistic variables

REFERENCES

Abdullah L., Adawiyah C. W. R., (2014), Simple Additive Weighting Methods of Multicriteria Decision Making and Applications: A Decade Review, International Journal of Information Processing and Management, 5/1, 39–49.

Abdullah L., Jamal N. J., (2010), Determination of Weights for Health Related Quality of Life Indicators Among Kidney Patients: A Fuzzy Decision Making Method, Applied Research in Quality of Life, 6 (4), 349–361.

Cavallaro F., Zavadskas E. K., Raslanas S., (2016), Evaluation of Combined Heat and Power (CHP) Systems Using Fuzzy Shannon Entropy and Fuzzy TOPSIS, Sustainability, 8 (6), 556.

Chaghooshi A. J., Fathi M. R., Kashef M., (2012), Integration of Fuzzy Shannon’s Entropy with Fuzzy TOPSIS for Industrial Robotic System Selection, Journal of Industrial Engineering and Management, 5 (1), 102–114.

Churchman C. W., Ackoff R. L., (1954), An Approximate Measure of Value, Journal of Operations Research Society of America, 2 (1), 172–187.

Czogała E., Pedrycz W., (1985), Elementy i metody teorii zbiorów rozmytych, PWN, Warszawa.

Deni W., Sudana O., Sasmita A., (2013), Analysis and Implementation Fuzzy Multi-Attribute Decision Making SAW Method for Selection of High Achieving Students in Faculty Level, International Journal of Computer Science, 10/1–2, 674–680.

Garg H., Agarwal N., Tripathi A., (2015,) Entropy Based Multi-criteria Decision Making Method Under Fuzzy Environment and Unknown Attribute Weights, Global Journal of Technology and Optimization, 6 (3), 13–20.

Gupta S., Gupta A., (2012), A Fuzzy Multi Criteria Decision Making Approach for Vendor Evaluation in a Supply Chain, Interscience Management Review, 2 (3), 10–16.

Hwang C. L., Yoon K., (1981), Multiple Attribute Decision Making, Lecture Notes in Economics and Mathematical Systems, Springer.

Kacprzak D., (2017), Objective Weights Based on Ordered Fuzzy Numbers for Fuzzy Multiple Criteria Decision Making Methods, Entropy, 19 (7), 373.

Kaufmann A., Gupta M. M., (1988), Fuzzy Mathematical Models in Engineering and Management Science, Elsevier Science Publishers, North-Holland, Amsterdam, N.Y.

Kobryń A., (2014), Wielokryterialne wspomaganie decyzji w gospodarowaniu przestrzenią, Difin, Warszawa.

Lin H. Y., Liao C. J., Chang Y. H., (2010), Applying Fuzzy Simple Additive Weighting System to Health Examination Institution Location Selection, IEEE International Conference on Industrial Engineering and Engineering Management, 646–650.

Lotfi F. H., Fallahnejad R., (2010), Imprecise Shannon’s Entropy and Multi Attribute Decision Making, Entropy, 12, 53-62.

Roszkowska E., Kacprzak D., (2016), The Fuzzy SAW and Fuzzy TOPSIS Procedures Based on Ordered Fuzzy Numbers, Information Sciences, 369, 564-584.

Sagar M. K., Jayaswal P., Kushwah K., (2013), Exploring Fuzzy SAW Method for Maintenance Strategy Selection Problem of Material Handling Equipment, International Journal of Current Engineering and Technology, 3 (2), 600–605.

Shahmardan A., Zadeh M. H., (2013), An Integrated Approach for Solving a MCDM Problem, Combination of Entropy Fuzzy and F-PROMETHEE Techniques, Journal of Industrial Engineering and Management, 6 (4), 1124-1138.

Shemshadi A., Shirazi H., Toreihi M., Tarokh M. J., (2011), A Fuzzy VIKOR Method for Supplier Selection Based on Entropy Measure for Objective Weighting, Expert Systems with Applications, 38 (10), 12160–12167.

Wang T. C., Lee H. D., (2009), Developing a Fuzzy TOPSIS Approach Based on Subjective Weights and Objective Weights, Expert Systems with Applications, 36, 8980–8985.

Zadeh L. A., (1965), Fuzzy Sets, Information and Control, 8, 338–353.

Zhang Y., Wang Y., Wang J., (2014), Objective Attributes Weights Determining Based on Shannon Information Entropy in Hesitant Fuzzy Multiple Attribute Decision Making, Mathematical Problems in Engineering, 2014, 1-7.

Zoraghi N., Amiri M., Talebi G., Zowghi M., (2013), A Fuzzy MCDM Model with Objective and Subjective Weights for Evaluating Service Quality in Hotel Industries, Journal of Industrial Engineering International, 9 (1), 1–13.

Back to top
Copyright © 2019 Statistics Poland