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  • ÇÐÁ¦°£¿¬±¸ | Interdisciplinary Studies in Gambling | Î¥学Ρ研ϼ

    date : 2015-05-20 01:10|hit : 1470
    Article] Ranking discrete outcome alternatives with partially quantified uncertainty
    DocNo of ILP: 3966

    Doc. Type: Article

    Title: Ranking discrete outcome alternatives with partially quantified uncertainty

    Authors: Tenekedjiev, KI; Nikolova, ND

    Full Name of Authors: Tenekedjiev, Kiril I.; Nikolova, Natalia D.

    Keywords by Author: fuzzy rationality; expected utility; laplace; wald; Hurwicz(alpha) criteria

    Keywords Plus: FUZZY SET-THEORY; IMPRECISE PROBABILITIES; SUBJECTIVE-PROBABILITY; EVENTS

    Abstract: Real decision makers (DM) partially quantify uncertainty as probability uncertainty intervals. Then alternatives are modeled as fuzzy-rational lotteries. Those can be approximated by standard lotteries with point-estimate probabilities, referred as classical-risky. Ranking the approximating classical-risky lotteries is a problem under risk, solved by expected utility. However, the approximation itself is a problem under strict uncertainty. Here this part of the problem is solved by criteria under strict uncertainty, which if not perfectly rational, are well worked descriptive methods with known properties. The proposed Laplace, Wald, maximax and Hurwicz expected utility criteria for prescriptive ranking of fuzzy-rational lotteries allow the DM to control the approximation of alternatives with partially quantified uncertainty in consistency with her/his degree of belief and with his optimism-pessimism attitude. That makes them superior to the widespread abandoned-m and normalized mean criteria, which often violate the intrinsic subjective probabilities of the DM. The proposed criteria are generalizations of expected utility criterion under risk and of their standard versions under strict uncertainty.

    Cate of OECD: Computer and information sciences

    Year of Publication: 2008

    Business Area: lottery

    Detail Business: lottery

    Country: England

    Study Area: utility, utility, probabilityFUZZY, probability, FUZZY, computer engineering, computer, attitude, risk

    Name of Journal: INTERNATIONAL JOURNAL OF GENERAL SYSTEMS

    Language: English

    Country of Authors: [Tenekedjiev, Kiril I.; Nikolova, Natalia D.] Tech Univ Varna, Varna 9010, Bulgaria

    Press Adress: Tenekedjiev, KI (reprint author), Tech Univ Varna, 1 Studentska St, Varna 9010, Bulgaria.

    Email Address: kiril@dilogos.com; natalia@dilogos.com

    Citaion:

    Funding:

    Lists of Citation: Alvarez DA, 2006, INT J APPROX REASON, V43, P241, DOI 10.1016/j.ijar.2006.04.005; ATANASSOV K, 2002, ADV STUDIES CONT MAT, V5, P1; Atanassov K., 1999, INTUITIONISTIC FUZZY; Augustin T, 2005, INT J GEN SYST, V34, P451, DOI 10.1080/03081070500190839; AUGUSTIN T, 2001, P 2 INT S IMPR PROB; Bell D.E., 1988, DECISION MAKING; Belohlavek R, 2002, INT J GEN SYST, V31, P569, DOI 10.1080/0308107021000061894; Cano A, 2002, INT J APPROX REASON, V29, P1, DOI 10.1016/S0888-613X(01)00046-9; Cozman FG, 2005, INT J APPROX REASON, V39, P167, DOI 10.1016/j.ijar.2004.10.003; French S, 1993, DECISION THEORY INTR; French S., 2000, STAT DECISION THEORY; Klir GJ, 2001, INT J GEN SYST, V30, P91, DOI 10.1080/03081070108960701; Kozine IO, 2005, INT J GEN SYST, V34, P401, DOI 10.1080/03081070500201701; Law AV, 1998, PHARMACEUT RES, V15, P105, DOI 10.1023/A:1011913123135; MACHINA MJ, 1992, ECONOMETRICA, V60, P745, DOI 10.2307/2951565; NIKOLOVA N, 2006, INT C AUT INFORM, P283; NIKOLOVA ND, 2005, J ADV COMPUTATIONAL, V9, P65; NIKOLOVA ND, 2004, P 2 INT IEEE C INT S, V3, P27; Pratt J., 1995, INTRO STAT DECISION; Press W.H., 2002, NUMERICAL RECIPES C; Quiggin J., 1993, GENERALIZED EXPECTED; Rapoport A., 1989, DECISION THEORY DECI; Shafer G, 2003, INT J APPROX REASON, V33, P1, DOI 10.1016/S0888-613X(02)00134-2; SZMIDT E, 1998, NOTES IFS, V3, P111; SZMIDT E, 1999, EUSFLAT ESTYLF JOINT, P457; TENEKEDJIEV K, 2006, 3 INT IEEE C INT SYS, P747; Tenekedjiev K., 2006, 1 INT WORKSH INT FUZ, P56; TVERSKY A, 1992, J RISK UNCERTAINTY, V5, P297, DOI 10.1007/BF00122574; ZADEH LA, 1965, INFORM CONTROL, V8, P338, DOI 10.1016/S0019-9958(65)90241-X; ZADEH LA, 1968, J MATH ANAL APPL, V23, P421, DOI 10.1016/0022-247X(68)90078-4

    Number of Citaion: 30

    Publication: TAYLOR & FRANCIS LTD

    City of Publication: ABINGDON

    Address of Publication: 4 PARK SQUARE, MILTON PARK, ABINGDON OX14 4RN, OXON, ENGLAND

    ISSN: 0308-1079

    29-Character Source Abbreviation: INT J GEN SYST

    ISO Source Abbreviation: Int. J. Gen. Syst.

    Volume: 37

    Version: 2

    Start of File: 249

    End of File: 274

    DOI: 10.1080/03081070701409046

    Number of Pages: 26

    Web of Science Category: Computer Science, Theory & Methods; Ergonomics

    Subject Category: Computer Science; Engineering

    Document Delivery Number: 276HG

    Unique Article Identifier: WOS:000254131300007

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