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Group decision making with incomplete reciprocal preference relations based on multiplicative consistency

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Abstract
This paper comprises a new iterative method for multi-person decision making based on multiplicative consistency with incomplete reciprocal preference relations (IRPRs). Additionally, multiplicative transitivity property of reciprocal preference relation (RPR) is used at the first level to estimate the unknown preference values and get the complete preference relation, then it is confirmed to be multiplicative consistent by using transitive closure formula. Following this, expert's weights are evaluated by merging consistency and trust weights. The consistency weights against the experts are evaluated through multiplicative consistency investigation of the preferences given by each expert, while trust weights play the role to measure the level of trust for an expert. The consensus process determines whether the selection procedure should start or not. If it results in negative, the feedback mechanism is used to enhance the consensus degree. At the end, a numerical example is given to demonstrate the efficiency and practicality of the proposed method.
Keywords
Fuzzy set, Group decision making, Reciprocal preference relation, Incomplete preference relation, Multiplicative consistency, GOAL PROGRAMMING APPROACH, CONSENSUS MODEL, PRIORITY

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MLA
Kerre, Etienne, et al. “Group Decision Making with Incomplete Reciprocal Preference Relations Based on Multiplicative Consistency.” INTERNATIONAL JOURNAL OF COMPUTATIONAL INTELLIGENCE SYSTEMS, vol. 11, no. 1, 2018, pp. 1030–40.
APA
Kerre, E., Rehman, A., & Ashraf, S. (2018). Group decision making with incomplete reciprocal preference relations based on multiplicative consistency. INTERNATIONAL JOURNAL OF COMPUTATIONAL INTELLIGENCE SYSTEMS, 11(1), 1030–1040.
Chicago author-date
Kerre, Etienne, Atiq-ur Rehman, and Samina Ashraf. 2018. “Group Decision Making with Incomplete Reciprocal Preference Relations Based on Multiplicative Consistency.” INTERNATIONAL JOURNAL OF COMPUTATIONAL INTELLIGENCE SYSTEMS 11 (1): 1030–40.
Chicago author-date (all authors)
Kerre, Etienne, Atiq-ur Rehman, and Samina Ashraf. 2018. “Group Decision Making with Incomplete Reciprocal Preference Relations Based on Multiplicative Consistency.” INTERNATIONAL JOURNAL OF COMPUTATIONAL INTELLIGENCE SYSTEMS 11 (1): 1030–1040.
Vancouver
1.
Kerre E, Rehman A, Ashraf S. Group decision making with incomplete reciprocal preference relations based on multiplicative consistency. INTERNATIONAL JOURNAL OF COMPUTATIONAL INTELLIGENCE SYSTEMS. 2018;11(1):1030–40.
IEEE
[1]
E. Kerre, A. Rehman, and S. Ashraf, “Group decision making with incomplete reciprocal preference relations based on multiplicative consistency,” INTERNATIONAL JOURNAL OF COMPUTATIONAL INTELLIGENCE SYSTEMS, vol. 11, no. 1, pp. 1030–1040, 2018.
@article{8565311,
  abstract     = {This paper comprises a new iterative method for multi-person decision making based on multiplicative consistency with incomplete reciprocal preference relations (IRPRs). Additionally, multiplicative transitivity property of reciprocal preference relation (RPR) is used at the first level to estimate the unknown preference values and get the complete preference relation, then it is confirmed to be multiplicative consistent by using transitive closure formula. Following this, expert's weights are evaluated by merging consistency and trust weights. The consistency weights against the experts are evaluated through multiplicative consistency investigation of the preferences given by each expert, while trust weights play the role to measure the level of trust for an expert. The consensus process determines whether the selection procedure should start or not. If it results in negative, the feedback mechanism is used to enhance the consensus degree. At the end, a numerical example is given to demonstrate the efficiency and practicality of the proposed method.},
  author       = {Kerre, Etienne and Rehman, Atiq-ur and Ashraf, Samina},
  issn         = {1875-6891},
  journal      = {INTERNATIONAL JOURNAL OF COMPUTATIONAL INTELLIGENCE SYSTEMS},
  keywords     = {Fuzzy set,Group decision making,Reciprocal preference relation,Incomplete preference relation,Multiplicative consistency,GOAL PROGRAMMING APPROACH,CONSENSUS MODEL,PRIORITY},
  language     = {eng},
  number       = {1},
  pages        = {1030--1040},
  title        = {Group decision making with incomplete reciprocal preference relations based on multiplicative consistency},
  url          = {http://dx.doi.org/10.2991/ijcis.11.1.78},
  volume       = {11},
  year         = {2018},
}

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