Fuzzy analytic hierarchy process with interval type-2 fuzzy sets

2014 ◽  
Vol 59 ◽  
pp. 48-57 ◽  
Author(s):  
Cengiz Kahraman ◽  
Başar Öztayşi ◽  
İrem Uçal Sarı ◽  
Ebru Turanoğlu
2017 ◽  
Vol 6 (3) ◽  
pp. 124-137 ◽  
Author(s):  
Lazim Abdullah ◽  
Liana Najib

Selecting sustainable energy sources is one of the efforts to ensuring optimum energy consumption. However, the selection process is not straight forward as it requires multi-criteria that inherited uncertainty and qualitative evaluation. Multi-criteria evaluation that based on fuzzy set theory is one of the well-known methods to handle uncertainty in decision making and vagueness of information. This paper develops a preference for sustainable energy using the linguistic evaluation of interval type-2 fuzzy analytic hierarchy process (IT2 FAHP). Seven alternatives of sustainable energy sources that closely related to nine criteria were identified as the hierarchical structure of the decision making problem. Two academicians and an engineer attached to government agencies were invited to provide linguistic evaluation. The linguistic evaluations were analyzed using the newly developed IT2 FAHP. The seven-step computational method was implemented and the results suggest that solar energy is the best alternative in selecting the viable sustainable energy.


Author(s):  
Konstantin Yury Degtiarev ◽  
Mikhail Yury Borisov

The Analytic Hierarchy Process (AHP) enables decision-makers to prioritize alternatives. However, when an expert expresses judgments using natural language statements (e.g. words or phrases) inherent vagueness of language constructs can cause the interpretation to be imprecise. The fuzzy Analytic Hierarchy Process (FAHP) can be viewed in the context of the classical AHP expansion. While performing pairwise comparisons domain experts are accustomed to operating with verbal terms in their judgments. Most existing FAHP approaches do not consider a human’s confidence in the estimates provided. This paper presents a model that gives weight to the constraints on domains of expert assessments as they are almost always supplied with certain degrees of confidence. Interval type-2 membership functions (IT2MF) along with the probability-theoretical procedure for comparison of intervals can be applied here as suitable modeling options. Empirical comparison of FAHP that makes use of triangular fuzzy numbers and IT2MF-based FAHP is also presented.   


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