Fibonacci series-based pairwise comparison scale for analytic hierarchy process

Date

2021-01-01

Author

Can Ylldlrlm, Boǧaç
Karakaya, Gülşah
Gönül, Mustafa Sinan

Metadata

Show full item record

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Item Usage Stats

297
views

0
downloads

The Analytic Hierarchy Process (AHP) is one of the most widely used quantitative tools in multi-criteria decision-making problems. Despite its popularity and use due to its simple but systematic procedure, AHP has limitations especially in terms of the numerical comparison scale used in one of its core steps: pairwise comparisons. AHP is based on verbal comparisons of alternatives/criteria, which are, then, converted into quantitative scores with a one-To-one mapping between the verbal comparisons and a predetermined numerical scale. The choice of the numerical scale affects an essential characteristic of pairwise comparisons: consistency. In order to understand the intrinsic consistency propinquities, this study evaluates the most widely used numerical pairwise comparison scale (Fundamental Scale) and other numerical scales that have been proposed since the initial formulation of AHP. After identifying the limitations of known scales, a new scale based on Fibonacci series is developed considering these limitations, and further analysis is conducted through extensive simulations. The results show that the proposed scale performs well when compared to the other scales.

URI

https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85104605406&origin=inward
https://hdl.handle.net/11511/91064

Journal

International Journal of Information Technology and Decision Making

DOI

https://doi.org/10.1142/s0219622021500243

Collections

Department of Business Administration, Article

Suggestions

OpenMETU
Core

Hierarchical and decentralized multitasking control of discrete event systems Schmidt, Klaus Verner; Cury, José E. R. (2007-12-01) In this paper, a hierarchical and decentralized approach for composite discrete-event systems (DES) that have to fulfill multiple tasks is elaborated. Colored marking generators that can distinguish classes of tasks are used as the system model, and a colored abstraction procedure as well as sufficient conditions for nonblocking and hierarchically consistent control are developed. It is shown that the computational complexity for supervisor computation is reduced. A flexible manufacturing system example dem...
Performance-based parametric design explorations: A method for generating appropriate building components Ercan, Burak; Elias Özkan, Soofia Tahira (2015-05-01) Performance-based parametric design explorations depend on formulating custom-designed workflows that require reading, writing, interpreting and manipulating databases, as part of the design process. The possibilities of customization and parameterization offered by the user-friendly interfaces of advanced building-performance simulation software and digital design tools have now enabled architects to carry out performance-based design explorations without the help of simulation experts. This paper presents...
Stochastic modelling of biochemical networks and inference of modelparameters Purutçuoğlu Gazi, Vilda (null, Springer, 2018-01-01) There are many approaches to model the biochemical systems deterministically or stochastically. In deterministic approaches, we aim to describe the steady-state behaviours of the system, whereas, under stochastic models, we present the random nature of the system, for instance, during transcription or translation processes. Here, we represent the stochastic modelling approaches of biological networks and explain in details the inference of the model parameters within the Bayesian framework.
Almost Periodic Solutions of Recurrent Neural Networks with State-Dependent and Structured Impulses Akhmet, Marat; Erim, Gülbahar (2023-01-01) The subject of the present paper is recurrent neural networks with variable impulsive moments. The impact activation functions are specified such that the structure for the jump equations are in full accordance with that one for the differential equation. The system studied in this paper covers the works done before, not only because the impacts have recurrent form, but also impulses are not state-dependent. The conditions for existence and uniqueness of asymptotically stable discontinuous almost periodic s...
Stochastic differential games for optimal investment problems in a Markov regime-switching jump-diffusion market Savku, E.; Weber, Gerhard Wilhelm (Springer Science and Business Media LLC, 2020-08-01) We apply dynamic programming principle to discuss two optimal investment problems by using zero-sum and nonzero-sum stochastic game approaches in a continuous-time Markov regime-switching environment within the frame work of behavioral finance. We represent different states of an economy and, consequently, investors' floating levels of psychological reactions by aD-state Markov chain. The first application is a zero-sum game between an investor and the market, and the second one formulates a nonzero-sum sto...

Citation Formats

B. Can Ylldlrlm, G. Karakaya, and M. S. Gönül, “Fibonacci series-based pairwise comparison scale for analytic hierarchy process,” International Journal of Information Technology and Decision Making, pp. 0–0, 2021, Accessed: 00, 2021. [Online]. Available: https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85104605406&origin=inward.