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A multi-criteria decision-making formulation of trust using fuzzy analytic hierarchy process

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Abstract

Trust models have widespread applications in different areas. In this paper, we formulate trust as a multi-criteria decision-making (MCDM) problem. By applying this new formulation, one can treat the process of trust establishment as a decision-making process based on some set of trustworthiness criteria. By looking at trust as a whole, we may miss some important factors. Only by dividing this concept into its building blocks and weighting those building blocks based on the proposed perception of importance in a context and toward a specific goal, we can achieve a better decision. As a structural way for making trust decisions, the proposed method uses fuzzy analytic hierarchy process (AHP). Fuzzy AHP provides both the advantages of fuzziness, which is compatible with the uncertain, vague, and subjective nature of trust and AHP as a systematic approach to make decisions in complex MCDM problems. In order to aggregate the evaluations of each recommender about every trustee candidate, the Sugeno fuzzy integral is used to build the final trust score. At last, the method calculates the final recommendation score based on the trustor’s subjective belief. We present an illustrative example plus an empirical experiment in the context of Web service selection to demonstrate the application of the proposed formulation of trust and the evaluation of trust scores.

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Notes

  1. “Trust that” something happens and “Trust in” an entity.

  2. Bolton et al. (2004) defines continuity as an important factor in the trust development. It is the assumption that the relationship (i.e. connection) is going to continue in the future.

References

  • Al-Masri E, Mahmoud QH (2007a) Discovering the best web service. In: Proceedings of the 16th international conference on World Wide Web, pp 1257–1258

  • Al-Masri E, Mahmoud QH (2007b) 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

  • Al-Masri E, Mahmoud QH (2013) The QWS Dataset. http://www.uoguelph.ca/~qmahmoud/qws/. Accessed 12 June 2013

  • Ali AS, Rana OF (2010) A belief-based trust model for dynamic service selection. In: Economic models and algorithms for distributed systems, Springer, pp 9–23

  • Atthirawong W, MacCarthy B (2002) An application of the analytical hierarchy process to international location decision-making. In: Proceedings of the 7th annual Cambridge international manufacturing symposium: restructuring global manufacturing, Cambridge, England, University of Cambridge, pp 1–18

  • 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

  • Balakrishnan V, Varadharajan V, Tupakula U (2008) Subjective logic based trust model for mobile ad hoc networks. In: Proceedings of the 4th international conference on security and privacy in communication netowrks, p 30

  • Barber KS, Kim J (2001) Belief revision process based on trust: agents evaluating reputation of information sources. In: Proceedings of the trust in cyber-societies, Springer, pp 73–82

  • Bhushan N, Rai K (2004) Strategic decision making: applying the analytic hierarchy process. Springer, New York

    Google Scholar 

  • Bolton GE, Katok E, Ockenfels A (2004) Trust among internet traders: a behavioral economics approach. Anal Krit 26:185–202

    Google Scholar 

  • Bowers KD, Juels A, Oprea A (2009) HAIL: a high-availability and integrity layer for cloud storage. In: Proceedings of the 16th ACM conference on computer and communications security, pp 187–198

  • Buckley JJ (1985) Fuzzy hierarchical analysis. Fuzzy Sets Syst 17:233–247

    Article  MATH  MathSciNet  Google Scholar 

  • Busacca B, Castaldo S (2011) Trust in market relationships: an interpretative model. Sinergie Rivista di Studi e Ricerche 20:91–227

  • Castelfranchi C (2008a) Trust and reciprocity: misunderstandings. Int Rev Econ 55:45–63

    Article  Google Scholar 

  • Castelfranchi C (2008b) Reasons: belief support and goal dynamics. Mathw Soft Comput 3:233–247

    Google Scholar 

  • Castelfranchi C, Falcone R (1998) Towards a theory of delegation for agent-based systems. Robot Auton Syst 24:141–157

    Article  Google Scholar 

  • 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, Hawaii, p 10

  • Castelfranchi C, Falcone R (2004) Founding autonomy: The dialectics between (social) environment and agent’s architecture and powers. Agents Comput Auton 2969:71–83

  • Castelfranchi C, Falcone R (2010) Trust theory: a socio-cognitive and computational model, vol 18. Wiley, Hoboken

    Book  Google Scholar 

  • Christianson B, Harbison W (1997) Why isn’t trust transitive? In: Proceedings of the security protocols, pp 171–176

  • Delmotte F (2007) Detection of defective sources in the setting of possibility theory. Fuzzy Sets Syst 158:555–571

    Article  MathSciNet  Google Scholar 

  • Delmotte F, Borne P (1998) Modeling of reliability with possibility theory. IEEE Trans Syst Man Cybern Part A Syst Hum 28:78–88

    Article  Google Scholar 

  • Delmotte F, Dubois L, Borne P (1996a) Context-dependent trust in data fusion within the possibility theory. In: Proceedings of the IEEE international conference on systems, man, and cybernetics, pp 538–543

  • Delmotte F, Dubois L, Borne P (1996b) A general scheme for multi-model controller using trust. Math Comput Simul 41:173–186

    Article  Google Scholar 

  • Demolombe R (2004) Reasoning about trust: a formal logical framework. In: Proceedings of the trust management, Springer, pp 291–303

  • DuBois D, Prade HM (1980) Fuzzy sets and systems: theory and applications, vol 144. Academic Pr, Waltham

    MATH  Google Scholar 

  • Dubois D, Prade H (1998) Possibility theory. Springer, New York

    Google Scholar 

  • 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

  • Fu Jl, Gao CS, Dai Q, Yang Y (2008) Trust search algorithm based on subjective logic. Comput Eng 3:062

    Google Scholar 

  • Grabisch M, Sugeno M, Murofushi T (2000) Fuzzy Measures and integrals: theory and applications, Springer-Verlag New York, Inc

  • Gray E, Seigneur JM, Chen Y, Jensen C (2003) Trust propagation in small worlds. In: Proceedings of the trust management, pp 1072–1072

  • Guha R, Kumar R, Raghavan P, Tomkins A (2004) Propagation of trust and distrust. In: Proceedings of the 13th international conference on World Wide Web, New York, pp 403–412

  • Hardin R (2004) Trust and trustworthiness, vol 4. Russell Sage Foundation Publications, New York

    Google Scholar 

  • Herrera-Viedma E, Herrera F, Chiclana F, Luque M (2004) Some issues on consistency of fuzzy preference relations. Eur J Oper Res 154:98–109

    Article  MATH  MathSciNet  Google Scholar 

  • Hoogendoorn M, Jaffry SW, Treur J (2008) Modeling dynamics of relative trust of competitive information agents. In: Proceedings of the cooperative information agents XII, Springer, pp 55–70

  • Hoogendoorn M, Jaffry SW, van Maanen PP (2011) Validation and verification of agent models for trust: independent compared to relative trust. In: Proceedings of the trust management V, Springer, pp 35–50

  • Huang H, Wang R (2008) Subjective trust evaluation model based on membership cloud theory. J Commun 29:13–19

    Google Scholar 

  • Jøsang A, Gray E, Kinateder M (2006) Simplification and analysis of transitive trust networks. Web Intell Agent Syst 4:139–161

    Google Scholar 

  • Kahraman C, Cebeci U, Ulukan Z (2003) Multi-criteria supplier selection using fuzzy AHP. Logist Inf Manag 16:382–394

    Article  Google Scholar 

  • Kim TK, Seo HS (2008) A trust model using fuzzy logic in wireless sensor network. World Acad Sci Eng Technol 42:63–66

    Google Scholar 

  • Klüwer JW, Waaler A (2006) Relative trustworthiness. In: Proceedings of the formal aspects in security and trust, Springer, pp 158–170

  • Köksalan M, Wallenius J, Zionts S (2011) Multiple Criteria Decision Making: From Early History to the 21st Century: World Scientific Publishing Company Incorporated

  • Lesani M, Bagheri S (2006) Fuzzy trust inference in trust graphs and its application in semantic web social networks. In: Proceedings of the world automation congress (WAC’06), pp 1–6

  • Letia IA, Slavescu RR (2011) A model of trust and reputation in e-commerce based on multimodal logic. In: Proceedings of the 2011 IEEE international conference on intelligent computer communication and processing (ICCP), pp 119–122

  • Lin HF (2010) An application of fuzzy AHP for evaluating course website quality. Comput Educ 54:877–888

    Article  Google Scholar 

  • Marsh S, Dibben MR (2003) The role of trust in information science and technology. Ann Rev Inf Sci Technol 37:465–498

    Article  Google Scholar 

  • Meng X, Zhang G, Kang J, Li H, Li D (2008) A new subjective trust model based on cloud model. In: Proceedings of the IEEE international conference on networking, sensing and control (ICNSC 2008), pp 1125–1130

  • Miceli M, Castelfranchi C (2000) The role of evaluation in cognition and social interaction. In: Dautenhahn K (ed) Human cognition and agent technology. Benjamins, Amsterdam, pp 225–261

  • 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

    Google Scholar 

  • Murofushi T, Sugeno M (2000) Fuzzy measures and fuzzy integrals. Fuzzy Meas Integrals Theory Appl 40:3–41

  • 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

  • Rezaei J, Ortt R (2013) Multi-criteria supplier segmentation using a fuzzy preference relations based AHP. Eur J Oper Res 225:75–84

    Article  MATH  Google Scholar 

  • Saaty TL (1986) Axiomatic foundation of the analytic hierarchy process. Manag Sci 32:841–855

    Article  MATH  MathSciNet  Google Scholar 

  • Saaty TL (2001) The analytic network process: decision making with dependence and feedback. RWS Publ, Pittsburgh

    Book  Google Scholar 

  • Saaty TL, Peniwati K (2008) Group decision making: drawing out and reconciling differences. RWS Publications, Pittsburgh

    Google Scholar 

  • Schmidt S, Steele R, Dillon TS, Chang E (2007) Fuzzy trust evaluation and credibility development in multi-agent systems. Appl Soft Comput 7:492–505

    Article  Google Scholar 

  • Shyamal AK, Pal M (2004) Two new operators on fuzzy matrices. J Appl Math Comput 15:91–107

    Article  MATH  MathSciNet  Google Scholar 

  • Shyamal AK, Pal M (2007) Triangular fuzzy matrices. Iran J Fuzzy Syst 4:75–87

    MATH  MathSciNet  Google Scholar 

  • Simmel G, Wolff K (Trans.) (1906) The stranger. In: The Sociology of Georg Simmel. Free Press, New York, 1950, pp 402–408

  • Stephen M (1994) Formalising trust as a computational concept. PhD. dissertation, University of Stirling, Scotland

  • Takahagi E (2013) Fuzzy integral calculation site (Fuzzy Integrals and Fuzzy Measure). http://www.isc.senshu-u.ac.jp/~thc0456/Efuzzyweb/. Accessed 12 June 2013

  • Wang TC, Chen YH (2007) Applying consistent fuzzy preference relations to partnership selection. Omega 35:384–388

    Article  Google Scholar 

  • Wang TC, Chen YH (2008) Applying fuzzy linguistic preference relations to the improvement of consistency of fuzzy AHP. Inf Sci 178:3755–3765

    Article  MATH  Google Scholar 

  • Wei Z, Lu L, Yanchun Z (2008) Using fuzzy cognitive time maps for modeling and evaluating trust dynamics in the virtual enterprises. Expert Syst Appl 35:1583–1592

    Article  Google Scholar 

  • Wen T, Jianbin H, Zhong C (2005) Research on a fuzzy logic-based subjective trust management model. J Comput Res Dev 42:1654–1659

    Article  Google Scholar 

  • 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 2011 IEEE/ACM international conference on green computing and communications (GreenCom), pp 124–130

  • Yu R, Tzeng GH (2006) A soft computing method for multi-criteria decision making with dependence and feedback. Appl Mathe Comput 180:63–75

    Article  MATH  MathSciNet  Google Scholar 

  • Zadeh LA (1968) Probability measures of fuzzy events. J Math Anal Appl 23:421–427

    Article  MATH  MathSciNet  Google Scholar 

  • Zadeh LA (1975) The concept of a linguistic variable and its application to approximate reasoning. Inf Sci 8:199–249

    Article  MATH  MathSciNet  Google Scholar 

  • Zimmermann HJ (2001) Fuzzy set theory and its applications. Springer, New York

    Book  Google Scholar 

Download references

Acknowledgments

We would like to thank 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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Correspondence to Mohammad Abdollahi Azgomi.

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Ashtiani, M., Abdollahi Azgomi, M. A multi-criteria decision-making formulation of trust using fuzzy analytic hierarchy process. Cogn Tech Work 17, 465–488 (2015). https://doi.org/10.1007/s10111-014-0310-2

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