Interval multiplicative transitivity for consistency, missing values and priority weights of interval fuzzy preference relations

Genç, Serkan; Boran, Fatih Emre; Akay, Diyar; Zhang, Xu

doi:10.1016/j.ins.2010.08.019

Cited by 132 publications

(64 citation statements)

References 35 publications

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“…For the case of IVPRs two main approaches are analysed: The first one uses consistency properties to estimate the missing PRs [3,29] whereas the second one [98] is based on the rough set theory [55]. For the case of IFPR three iterative approaches have been considered [74,87,93].…”

Section: Managing Missing Preference Values In Ivprs An Ifprsmentioning

confidence: 99%

Managing incomplete preference relations in decision making: A review and future trends

Ureña

Chiclana

Morente-Molinera

et al. 2015

Information Sciences

247

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Section: Managing Missing Preference Values In Ivprs An Ifprsmentioning

confidence: 99%

Managing incomplete preference relations in decision making: A review and future trends

Ureña

Chiclana

Morente-Molinera

et al. 2015

Information Sciences

247

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“…The preference relations provided by other committee members can be obtained similarly as B 2 and B 3 . In order to avoid the difficulty of providing accurate numerical value for decision maker's preference degree, interval multiplicative preference relations [74] and interval fuzzy preference relations [75][76][77] were proposed which use interval numbers as the judgements of the decision maker's preference.…”

Section: Decision Making Based On Preference Relationsmentioning

confidence: 99%

Ordering based decision making – A survey

et al. 2013

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A B S T R A C TDecision making is the crucial step in many real applications such as organization management, financial planning, products evaluation and recommendation. Rational decision making is to select an alternative from a set of different ones which has the best utility (i.e., maximally satisfies given criteria, objectives, or preferences). In many cases, decision making is to order alternatives and select one or a few among the top of the ranking. Orderings provide a natural and effective way for representing indeterminate situations which are pervasive in commonsense reasoning. Ordering based decision making is then to find the suitable method for evaluating candidates or ranking alternatives based on provided ordinal information and criteria, and this in many cases is to rank alternatives based on qualitative ordering information. In this paper, we discuss the importance and research aspects of ordering based decision making, and review the existing ordering based decision making theories and methods providing future research directions.

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“…Indeed, the use of IFRPRs in GDM problems under uncertain environments has recently attracted the attention of many researchers [13,30,41,51].…”

Section: Introductionmentioning

confidence: 99%

A social network analysis trust–consensus based approach to group decision-making problems with interval-valued fuzzy reciprocal preference relations

Chiclana

2014

Knowledge-Based Systems

262

145

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Interval multiplicative transitivity for consistency, missing values and priority weights of interval fuzzy preference relations

Cited by 132 publications

References 35 publications

Managing incomplete preference relations in decision making: A review and future trends

Managing incomplete preference relations in decision making: A review and future trends

Ordering based decision making – A survey

A social network analysis trust–consensus based approach to group decision-making problems with interval-valued fuzzy reciprocal preference relations

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