Article Info
Authors: E. Roszkowska, D. Kacprzak
Journal: Information Sciences
Publication date: 10 November 2016
Volume: 369
Pages: 564–584
DOI: 10.1016/j.ins.2016.07.044
Research Focus
The paper presents two techniques, linguistic fuzzy simple additive weighting (FSAW) and linguistic fuzzy technique for order of preference by similarity to the ideal solution (FTOPSIS), both based on ordered fuzzy numbers.
Ordered Fuzzy Numbers
The approach addresses decision information that is vague, imprecise, or expressed linguistically. Ordered fuzzy numbers allow intermediate assessments, such as values greater than one scale point but below another, to be represented directly instead of forcing them into a single ordinal score.
Fuzzy SAW and Fuzzy TOPSIS
FSAW evaluates alternatives through a weighted additive procedure, while FTOPSIS selects alternatives according to their closeness to the ideal solution and distance from the negative ideal solution. The proposed representations use linguistic evaluations expressed with ordered fuzzy numbers.
Framework and Examples
The article provides theoretical foundations, definitions, and notation for fuzzy sets and ordered fuzzy numbers. It also presents linguistic procedures for multi-criteria decision making, addresses multi-expert evaluation, and uses numerical examples to illustrate the proposed methods.
Key Takeaways
- Ordered fuzzy numbers represent uncertain linguistic evaluations more directly.
- FSAW supports weighted aggregation of alternative performances.
- FTOPSIS ranks alternatives by ideal-solution proximity.
- Both methods are designed for understandable fuzzy decision making.
Cite this paper
APA: Roszkowska, E., & Kacprzak, D. (2016). The fuzzy SAW and fuzzy TOPSIS procedures based on ordered fuzzy numbers. Information Sciences, 369, 564–584. https://doi.org/10.1016/j.ins.2016.07.044
MLA: Roszkowska, E., and D. Kacprzak. “The fuzzy SAW and fuzzy TOPSIS procedures based on ordered fuzzy numbers.” Information Sciences, vol. 369, 2016, pp. 564–584. https://doi.org/10.1016/j.ins.2016.07.044.
IEEE: E. Roszkowska and D. Kacprzak, “The fuzzy SAW and fuzzy TOPSIS procedures based on ordered fuzzy numbers,” Information Sciences, vol. 369, pp. 564–584, 2016, doi: 10.1016/j.ins.2016.07.044.
Source
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