Hesitant Probabilistic Fuzzy Preference Relations in Decision Making
Joint Authors
Rashid, Tabasam
Bashir, Zia
Iqbal, Mobashir
Source
Mathematical Problems in Engineering
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-24, 24 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-03-26
Country of Publication
Egypt
No. of Pages
24
Main Subjects
Abstract EN
Preference of an alternative over another alternative is a useful way to express the opinion of decision maker.
In the process of group decision making, preference relations are used in preference modelling of the alternatives under given criteria.
The probability is an important tool to deal with uncertainty; in many scenarios of decision making probabilities of different events affect the decision making process directly.
In order to deal with this issue, in this paper, hesitant probabilistic fuzzy preference relation (HPFPR) is defined.
Furthermore, consistency of HPFPR and consensus among decision makers are studied in the hesitant probabilistic fuzzy environment.
In this respect, many novel algorithms are developed to achieve consistency of HPFPRs and reasonable consensus between decision makers and a final algorithm is proposed comprehending all other algorithms, presenting a complete decision support model for group decision making.
Lastly, we present a case study with complete illustration of the proposed model and discussed the effects of probabilities on decision making validating the importance of the introduction of probability in hesitant fuzzy preference relation.
American Psychological Association (APA)
Bashir, Zia& Rashid, Tabasam& Iqbal, Mobashir. 2018. Hesitant Probabilistic Fuzzy Preference Relations in Decision Making. Mathematical Problems in Engineering،Vol. 2018, no. 2018, pp.1-24.
https://search.emarefa.net/detail/BIM-1207940
Modern Language Association (MLA)
Bashir, Zia…[et al.]. Hesitant Probabilistic Fuzzy Preference Relations in Decision Making. Mathematical Problems in Engineering No. 2018 (2018), pp.1-24.
https://search.emarefa.net/detail/BIM-1207940
American Medical Association (AMA)
Bashir, Zia& Rashid, Tabasam& Iqbal, Mobashir. Hesitant Probabilistic Fuzzy Preference Relations in Decision Making. Mathematical Problems in Engineering. 2018. Vol. 2018, no. 2018, pp.1-24.
https://search.emarefa.net/detail/BIM-1207940
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1207940