Abstract
In this paper, we use a combination of fuzzy analytic hierarchy process and fuzzy VIKOR approaches from the domain of multi-criteria decision making to formulate trust. The VIKOR method was originally developed to solve decision problems with conflicting and non-commensurable criteria. The VIKOR method assumes that compromise is acceptable for conflict resolution and the decision maker wants a solution that is the closest to the ideal. In this method, the alternatives are evaluated according to all the established criteria. By using this method, we can rank the trustee alternatives and determine the compromise solution. Combining fuzzy logic with this approach lets us model the vague, uncertain and subjective nature of trust. The proposed formulation gives a structural way to make decisions to trust an entity, which is required in computational domains. As a result, it is possible to make recommendations in a referral trust scheme and aggregate the trust scores assigned by the recommenders. Through an illustrative example and by performing experimental evaluations, we have shown that the proposed method can make better trust decisions by taking into account the subjective preferences of the trustor about the existing trustworthiness criteria.
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The QWS dataset is available on URL: http://www.uoguelph.ca/~qmahmoud/qws/.
References
Abdul-Rahman A, Hailes S (2000) Supporting trust in virtual communities. In: Proceedings of the 33rd annual Hawaii international conference on system sciences, 1:9
Al-Masri E, Mahmoud QH (2007) Qos-based discovery and ranking of web services. In: Proceedings of the 16th international conference on computer communications and networks (ICCCN 2007), pp 529–534
Ashtiani M, Azgomi MA (2013) A computational model of trust based on a multi-criteria decision making approach presented at the 2013 international symposium on computer science and software engineering (CSSE 2013). Sharif University of Technology, Tehran
Ashtiani M, Azgomi MA (2014) A multi-criteria decision making formulation of trust using fuzzy analytic hierarchy process. Cognition technology and work, Springer. doi:10.1007/s10111-014-0310-2
Bachmann R (2001) Trust, power and control in trans-organizational relations. Organ Stud 22:337–365
Bai H (2008) A fuzzy AHP based evaluation method for vendor-selection. In: Proceedings of the 4th IEEE international conference on management of innovation and technology (ICMIT 2008), pp 1077–1081
Bedi P, Vashisth P (2014) Empowering recommender systems using trust and argumentation. Inf Sci 279:569–586
Bell DE (1982) Regret in decision making under uncertainty. Oper Res 30:961–981
Bellman RE, Zadeh LA (1970) Decision-making in a fuzzy environment. Manag Sci 17:B-141–B-164
Bolton GE, Katok E, Ockenfels A (2004) Trust among internet traders: a behavioral economics approach. Anal und Kritik 26:185–202
Burnett C, Norman TJ, Sycara K (2010) Bootstrapping trust evaluations through stereotypes. In: Proceedings of the 9th international conference on autonomous agents and multiagent systems, pp 241–248
Busacca B, Castaldo S (2011) Trust in market relationships: an interpretative model. Sinergie Rivista di Studi e Ricerche 20:191–227
Carbone M, Nielsen M, Sassone V (2003) A formal model for trust in dynamic networks. In: Proceedings of the first international conference on software engineering and formal methods, pp 54–61
Castelfranchi C (2006) The architecture of a social mind, the social structure of cognitive agents. Cognition and multi-agent interaction: from cognitive modeling to social simulation, Cambridge University Press
Castelfranchi C (2008) Reasons: belief support and goal dynamics. Mathware Soft Comput 3:233–247
Castelfranchi C, Falcone R (2000) Trust is much more than subjective probability: mental components and sources of trust. In: Proceedings of the 33rd annual Hawaii international conference on system sciences, 2000, Hawaii, p 10
Castelfranchi C, Falcone R (2004) Founding autonomy: the dialectics between (social) environment and agent’s architecture and powers. Agents and Computational Autonomy, pp 71–83
Castelfranchi C, Falcone R (2010) Trust theory: a socio-cognitive and computational model, vol 18. Wiley
Chang E, Dillon T, Hussain FK (2006) Trust and reputation for service-oriented environments: technologies for building business intelligence and consumer confidence. Wiley 1:18
Christianson B, Harbison W (1997) Why isn’t trust transitive? In: Proceedings of the security protocols, pp 171–176
Cristóbal JS (2011) The Vikor method multi-criteria decision-making in the selection of a renewable energy project in spain. Renew Energy 36:498–502
DuBois T, Golbeck J, Srinivasan A (2011) Predicting trust and distrust in social networks. In: Proceedings of the 2011 IEEE 3rd international conference on and 2011 IEEE 3rd international conference on social computing (socialcom) privacy, security, risk and trust (PASSAT), pp 418–424
Esfandiari B, Chandrasekharan S (2001) On how agents make friends: mechanisms for trust acquisition. In: Proceedings of the 4th workshop on deception, fraud and trust in agent societies, pp 27–34
Falcone R, Castelfranchi C (2001) Social trust: a cognitive approach (2001) In: Proceedings of the trust and deception in virtual societies, Springer, pp 55–90
Falcone R, Castelfranchi C (2010) Trust and transitivity: a complex deceptive relationship. In: Proceedings of the 12th AAMAS workshop on trust in agent societies (Trust), pp 43–54
Falcone R, Castelfranchi C (2012) Trust and transitivity: how trust-transfer works. In: Proceedings of the highlights on practical applications of agents and multi-agent systems, Springer, pp 179–187
Gray E, Seigneur JM, Chen Y, Jensen C (2003) Trust propagation in small worlds. In: Proceedings of the trust management, pp 1072–1072
Hang CW, Wang Y, Singh MP (2009) Operators for propagating trust and their evaluation in social networks. In: Proceedings of the 8th international conference on autonomous agents and multiagent systems, 2:1025–1032
Hardin R (2004) Trust and trustworthiness, Russell sage foundation publications, vol 4
Jelenc D, Hermoso R, Sabater-Mir J, Trček D (2013) Decision making matters: a better way to evaluate trust models. Know Based Syst 52:147–164
Kahraman C, Cebeci U, Ulukan Z (2003) Multi-criteria supplier selection using fuzzy AHP. Logist Inf Manag 16:382–394
Kim TK, Seo HS (2008) A trust model using fuzzy logic in wireless sensor network. World Acad Sci Eng Technol 42:63–66
Kuter U, Golbeck J (2007) Sunny: a new algorithm for trust inference in social networks using probabilistic confidence models. In: Proceedings of the national conference on artificial intelligence. p 1377
Leekwijck WV, Kerre EE (1999) Defuzzification: criteria and classification. Fuzzy Sets Syst 108:159–178
Lei H, Shoja G (2005) A distributed trust model for e-commerce applications. In: Proceedings of the 2005 IEEE international conference on e-technology, e-commerce and e-service (EEE’05), pp 290–293
Liu HW, Wang GJ (2007) Multi-criteria decision-making methods based on intuitionistic fuzzy sets. Eur J Oper Res 179:220–233
Marsh S (1994) Formalising trust as a computational concept. PhD Dissertation, University of Stirling, Scotland
Matei I, Baras JS, Jiang T (2009) A composite trust model and its application to collaborative distributed information fusion. In: Proceedings of the 12th international conference on information fusion (FUSION’09), Seattle, pp 1950–1957
Matt PA, Morge M, Toni F (2010) Combining statistics and arguments to compute trust. In: Proceedings of the 9th international conference on autonomous agents and multiagent systems, 1:209–216
Mohammady P, Amid A (2010) Integrated fuzzy VIKOR and fuzzy AHP model for supplier selection in an agile and modular virtual enterprise application of FMCDM on service companies. J Math Comput Sci 4:413–434
Möllering G (2005) The trust/control duality an integrative perspective on positive expectations of others. Int Sociol 20:283–305
Nefti S, Meziane F, Kasiran K (2005) A fuzzy trust model for e-commerce. In: Proceedings of the 7th IEEE international conference on E-commerce technology (CEC 2005), pp 401–404
O’Doherty D, Jouili S, Van Roy P (2012) Towards trust inference from bipartite social networks. In: Proceedings of the 2nd ACM SIGMOD workshop on databases and social networks, pp 13–18
Opricovic S, Tzeng GH (2007) Extended VIKOR method in comparison with outranking methods. Eur J Oper Res 178:514–529
Pang B (2007) Multi-criteria supplier evaluation using fuzzy AHP. In: Proceedings of the international conference on mechatronics and automation (ICMA 2007), Harbin, pp 2357–2362
Patel J, Teacy WL, Jennings NR, Luck M (2005) A probabilistic trust model for handling inaccurate reputation sources. In: Proceedings of the trust management, Springer, pp 193–209
Pérez LG, Mata F, Chiclana F (2014) Social network decision making with linguistic trustworthiness based induced OWA operators. Int J Intell Syst. doi:10.1002/int.21686
Richardson M, Agrawal R, Domingos P (2003) Trust management for the semantic web. Proc Seman Web ISWC 2003:351–368
Saaty TL (2001) The analytic network process: decision making with dependence and feedback, RWS Publication
Saaty TL (1986) Axiomatic foundation of the analytic hierarchy process. Manag Sci 32:841–855
Sanayei A, Mousavi SF, Yazdankhah A (2010) Group decision making process for supplier selection with VIKOR under fuzzy environment. Expert Syst Appl 37:24–30
Selcuk AA, Uzun E, Pariente MR (2004) A reputation-based trust management system for P2P networks. In: Proceedings of the IEEE international symposium on cluster computing and the grid (CCGrid 2004), pp 251–258
Shyamal AK, Pal M (2007) Triangular fuzzy matrices. Iran J Fuzzy Syst 4:75–87
Simmel G (1950) The stranger the sociology of Georg Simmel. Free Press, New York, pp 402–408
Singh A. Liu and L (2003) TrustMe: anonymous management of trust relationships in decentralized P2P systems. In: Proceedings of the 3rd international conference on Peer-to-Peer computing (P2P 2003), pp 142–149
Srinivasan A, Teitelbaum J. Wu J (2006) DRBTS: distributed reputation-based beacon trust system. In: Proceedings of the 2nd IEEE international symposium on dependable, autonomic and secure computing, pp 277–283
Sun YL, Yu W, Han Z, Liu KJR (2006) Information theoretic framework of trust modeling and evaluation for ad hoc networks. IEEE J Sel Areas Commun 24:305–317
The QWS dataset, http://www.uoguelph.ca/qmahmoud/qws/ Accessed 15 Oct 2014
Vahdani B, Hadipour H, Sadaghiani JS, Amiri M (2010) Extension of VIKOR method based on interval-valued fuzzy sets. Int J Adv Manuf Technol 47:1231–1239
Verbiest N, Cornelis C, Victor P, Herrera-Viedma E (2012) Trust and distrust aggregation enhanced with path length incorporation. Fuzzy Sets Syst 202:61–74
Victor P, Cornelis C, De Cock M, Herrera-Viedma E (2011) Practical aggregation operators for gradual trust and distrust. Fuzzy Sets Syst 184:126–147
Vu LH, Hauswirth M, Aberer K (2005) QoS-based service selection and ranking with trust and reputation management. In: Proceedings of the on the move to meaningful internet systems 2005: CoopIS, DOA, and ODBASE, pp 466–483
Wang Y, Vassileva J (2003) Trust and reputation model in peer-to-peer networks. In: Proceedings of the 3rd international conference on Peer-to-Peer computing (P2P 2003), pp 150–157
Wu J, Chiclana F (2014) A social network analysis trust-consensus based approach to group decision-making problems with interval-valued fuzzy reciprocal preference relations. Knowl Based Syst 59:97–107. doi:10.1016/j.knosys.2014.01.017
Xia H, Jia Z, Ju L, Li X, Zhu Y (2011) A subjective trust management model with multiple decision factors for MANET based on AHP and fuzzy logic rules. In: Proceedings of the IEEE/ACM international conference on green computing and communications (GreenCom) 2011:124–130
Zadeh LA (1968) Probability measures of fuzzy events. J Math Anal Appl 23:421–427
Zadeh LA (1975) The concept of a linguistic variable and its application to approximate reasoning. Inf Sci 8:199–249
Acknowledgments
We would like to thank the editor and the anonymous referees of this journal whose comments substantially improved the paper. We are also grateful to Iran National Science Foundation (INSF) for financial support of this research.
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Communicated by V. Loia.
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Ashtiani, M., Abdollahi Azgomi, M. Trust modeling based on a combination of fuzzy analytic hierarchy process and fuzzy VIKOR. Soft Comput 20, 399–421 (2016). https://doi.org/10.1007/s00500-014-1516-1
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DOI: https://doi.org/10.1007/s00500-014-1516-1