Hesitant Probabilistic Multiplicative Preference Relations in Group Decision Making
AbstractThe preference of one alternative over another is a useful way to express the opinion of the decision-maker. In the process of group decision-making, preference relations are used in preference modeling of the alternatives under given criteria. The probability is an important tool to deal with uncertainty and, in many scenarios of decision-making problems, the probabilities of different events affect the decision-making process directly. In order to deal with this issue, the hesitant probabilistic multiplicative preference relation (HPMPR) is defined in this paper. Furthermore, consistency of the HPMPR and consensus among decision makers are studied here. In this respect, many algorithms are developed to achieve consistency of HPMPRs, 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 discuss the effects of probabilities on decision-making validating the importance of the introduction of probability in hesitant multiplicative preference relations. View Full-Text
Share & Cite This Article
Bashir, Z.; Rashid, T.; Wątróbski, J.; Sałabun, W.; Malik, A. Hesitant Probabilistic Multiplicative Preference Relations in Group Decision Making. Appl. Sci. 2018, 8, 398.
Bashir Z, Rashid T, Wątróbski J, Sałabun W, Malik A. Hesitant Probabilistic Multiplicative Preference Relations in Group Decision Making. Applied Sciences. 2018; 8(3):398.Chicago/Turabian Style
Bashir, Zia; Rashid, Tabasam; Wątróbski, Jarosław; Sałabun, Wojciech; Malik, Abbas. 2018. "Hesitant Probabilistic Multiplicative Preference Relations in Group Decision Making." Appl. Sci. 8, no. 3: 398.
Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.