Interval-valued preference structures |
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| Institution: | 1. Depto. Física Aplicada II, Univ. del País Vasco UPV/EHU, Spain;2. Depto. Electricidad y Electrónica, Univ. del País Vasco UPV/EHU, Spain;3. BCMaterials, UPV/EHU Science Park, Spain;1. Department of Mathematics, Hazara University, Mansehra, Pakistan;2. Department of Mathematics, COMSATS Institute of Information Technology, Abbottabad, Pakistan;3. Department of Mathematics, College of Science Al-Zulfi, Majmaah University, Al-Zulfi, Saudi Arabia;1. Indian Statistical Institute, 203 Barrackpore Trunk Road, Kolkata 700108, West Bengal, India;2. Dhirubhai Ambani Institute of Information and Communication Technology, Gandhinagar, Near Indroda Circle, 382007 Gujarat, India;1. Engineering Department of Gas and CCPP, MAPNA Electric & Control, Engineering & Manufacturing Co. (MECO), Alborz, Iran. MAPNA Group;2. APAC Research Group, Industrial Control Centre of Excellence, Department of Electrical Engineering, K. N. Toosi University of Technology, Tehran, Iran;3. Department of Electrical and computer Engineering, University of Tehran, Tehran, Iran;1. Institute of Plasma Physics Chinese Academy of Sciences, 350 Shushanhu Rd, Hefei Anhui, China;2. Lappeenranta University of Technology, Skinnarilankatu 34 Lappeenranta, Finland |
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| Abstract: | Different languages that are offered to model vague preferences are reviewed and an interval-valued language is proposed to resolve a particular difficulty encountered with other languages. It is shown that interval-valued languages are well defined for De Morgan triples constructed by continuous triangular norms, conorms and a strong negation function. A new transitivity condition for vague preferences is suggested and its relationships to known transitivity conditions are established. A complete characterization of interval-valued preference structures is also provided. |
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