Trapezoidal interval type-2 fuzzy set extension of Analytic Hierarchy Process

2012 ◽  
Author(s):  
Kuo-Ping Chiao
Keyword(s):  
Analytic Hierarchy Process ◽  
Fuzzy Set ◽  
Analytic Hierarchy ◽  
Interval Type ◽  
Hierarchy Process

scholarly journals PRIORITIZATION OF ALTERNATIVES BASED ON ANALYTIC HIERARCHY PROCESS USING INTERVAL TYPE-2 FUZZY SETS AND PROBABILITY-THEORETICAL INTERVAL COMPARISON

2018 ◽  
Vol 10 (3) ◽  
Author(s):  
Konstantin Yury Degtiarev ◽  
Mikhail Yury Borisov
Keyword(s):  
Analytic Hierarchy Process ◽  
Decision Makers ◽  
Analytic Hierarchy ◽  
Domain Experts ◽  
Expert Assessments ◽  
Interval Type ◽  
Hierarchy Process ◽  
Interval Comparison ◽  
Theoretical Procedure

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.   

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
Keyword(s):  
Analytic Hierarchy Process ◽  
Fuzzy Sets ◽  
Fuzzy Analytic Hierarchy Process ◽  
Analytic Hierarchy ◽  
Interval Type ◽  
Hierarchy Process

Interval Type-2 Fuzzy Analytic Hierarchy Process for Sustainable Energy Sources Selection

2017 ◽  
Vol 6 (3) ◽  
pp. 124-137 ◽  
Author(s):  
Lazim Abdullah ◽  
Liana Najib
Keyword(s):  
Decision Making ◽  
Analytic Hierarchy Process ◽  
Sustainable Energy ◽  
Computational Method ◽  
Fuzzy Analytic Hierarchy Process ◽  
Energy Sources ◽  
Analytic Hierarchy ◽  
Interval Type ◽  
Hierarchy Process

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.

EVALUATION OF THE POTENTIAL HAZARDS OF SHIP-GENERATED WASTE IN MARITIME INDUSTRY USING A TYPE-2 FUZZY ANALYTICAL HIERARCHY PROCESS

2021 ◽  
Vol 162 (A3) ◽  
Author(s):  
E Celik ◽  
O Soner ◽  
E Akyuz ◽  
O Arslan
Keyword(s):  
Maritime Industry ◽  
Fuzzy Analytical Hierarchy Process ◽  
Negative Effects ◽  
Ahp Method ◽  
Analytic Hierarchy ◽  
Port Facilities ◽  
Interval Type ◽  
Hierarchy Process ◽  
Marine Environmental

Ships create a large amount of pollutions to marine and coastal environment where its pollutants have negative effects to human and maritime habitat. Depending on the nature of ship-generated waste, rules and regulations determine discharging procedures. This paper focuses on evaluating of potential hazards of ship-generated wastes on the environment whether it may be discharged into the sea or disposed of on port facilities. Thus, marine and costal environmental effects can be discussed analytically to improve human and ecological health. To achieve this purpose, analytic hierarchy process (AHP) extended with interval type-2 fuzzy sets (IT2FSs) is used. While AHP method is used for prioritizing the potential ship- generated waste, the IT2FSs deal with uncertainty and vagueness in the process of obtaining expert decision. Beside assessment of the environmental impacts, the paper contributes to enhance coastal and marine environmental awareness with respect to the ship-generated waste.

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