A software tool for FCM aggregation employing credibility weights and learning OWA operators

In this study, we present the functionalities of a new tool for FCMs using credibility weights and OWA-based operators for aggregation tasks. The average aggregation method for weighted interconnections among concepts is the most used method in FCM modeling. The aim of this research work is to (i) propose an alternative aggregation method based on learning OWA operators in aggregating FCM weights, assigned by many experts and/or stakeholders and (ii) to estimate and rank the experts’ credibility using a distance-based method. The applicability and usefulness of the proposed methodology in modeling and decision-making is demonstrated using poverty eradication strategies under DAY-NRLM (Deendayal Antyodaya Yojana-National Rural Livelihoods Mission) of India. The results produced by the proposed learning OWA operators are compared with the known average aggregation method of FCMs. These results imply that the proposed alternative FCM aggregation approach is really challenging when a large number of experts and stakeholders are engaged to design the overall FCM model.

[1]  Jose L. Salmeron,et al.  Methods and Algorithms for Fuzzy Cognitive Map-based Modeling , 2014, Fuzzy Cognitive Maps for Applied Sciences and Engineering.

[2]  Chunyan Miao,et al.  Dynamical cognitive network - an extension of fuzzy cognitive map , 2001, IEEE Trans. Fuzzy Syst..

[3]  Ronald R. Yager,et al.  On ordered weighted averaging aggregation operators in multicriteria decisionmaking , 1988, IEEE Trans. Syst. Man Cybern..

[4]  Chrysostomos D. Stylios,et al.  Modelling supervisory control systems using fuzzy cognitive maps , 2000 .

[5]  Elpiniki I. Papageorgiou,et al.  A new methodology for Decisions in Medical Informatics using fuzzy cognitive maps based on fuzzy rule-extraction techniques , 2011, Appl. Soft Comput..

[6]  M. O'Hagan,et al.  Aggregating Template Or Rule Antecedents In Real-time Expert Systems With Fuzzy Set Logic , 1988, Twenty-Second Asilomar Conference on Signals, Systems and Computers.

[7]  Jose L. Salmeron,et al.  Benchmarking main activation functions in fuzzy cognitive maps , 2009, Expert Syst. Appl..

[8]  Robert Ivor John,et al.  A model for enterprise architecture scenario analysis based on fuzzy cognitive maps and OWA operators , 2014, 2014 International Conference on Electronics, Communications and Computers (CONIELECOMP).

[9]  Jose Aguilar,et al.  A Survey about Fuzzy Cognitive Maps Papers (Invited Paper) , 2005 .

[10]  Wojciech J Stach,et al.  Learning and aggregation of Fuzzy Cognitive Maps - an evolutionary approach , 2010 .

[11]  Shigeo Abe,et al.  Neural Networks and Fuzzy Systems , 1996, Springer US.

[12]  Maurizio Bevilacqua,et al.  Application of fuzzy cognitive maps to drug administration risk management. , 2013 .

[13]  József Mezei,et al.  Aggregating expert knowledge for the measurement of systemic risk , 2016, Decis. Support Syst..

[14]  Bart Kosko,et al.  Fuzzy Engineering , 1996 .

[15]  Dimitar Filev,et al.  On the issue of obtaining OWA operator weights , 1998, Fuzzy Sets Syst..

[16]  Dimitris E. Koulouriotis,et al.  Training Fuzzy Cognitive Maps by using Hebbian learning algorithms: A comparative study , 2011, 2011 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE 2011).

[17]  Elpiniki I. Papageorgiou,et al.  Learning Algorithms for Fuzzy Cognitive Maps—A Review Study , 2012, IEEE Transactions on Systems, Man, and Cybernetics, Part C (Applications and Reviews).

[18]  Uygar Özesmi,et al.  Ecological models based on people’s knowledge: a multi-step fuzzy cognitive mapping approach , 2004 .

[19]  Voula C. Georgopoulos,et al.  Aggregate experts knowledge in Fuzzy Cognitive Maps , 2018, 2018 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE).

[20]  Chrysostomos D. Stylios,et al.  A Soft Computing Approach for Modelling the Supervisor of Manufacturing Systems , 1999, J. Intell. Robotic Syst..

[21]  Bart Kosko,et al.  Fuzzy Cognitive Maps , 1986, Int. J. Man Mach. Stud..

[22]  Ronald R. Yager,et al.  On ordered weighted averaging aggregation operators in multicriteria decision-making , 1988 .