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Comparing uncertainty data in epistemic and ontic sense used to decision making problem | ||
| Iranian Journal of Fuzzy Systems | ||
| مقاله 5، دوره 16، شماره 2، خرداد و تیر 2019، صفحه 45-55 اصل مقاله (187.26 K) | ||
| نوع مقاله: Original Manuscript | ||
| شناسه دیجیتال (DOI): 10.22111/ijfs.2019.4541 | ||
| نویسنده | ||
Barbara Pekala 
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| University of Rzeszow | ||
| چکیده | ||
| In the paper aspect of comparability alternatives in decision making problem by imprecise or incomplete information is examined. In particular, new definitions of transitivity based on the measure of the intensity preference between pairs of alternatives in epistemic and ontic case is presented and its application to solve decision making problem is proposed. | ||
| کلیدواژه‌ها | ||
| Epistemic/ontic order and transitivity؛ Selection alternatives؛ Interval-valued fuzzy relations | ||
| مراجع | ||
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[1] E. Barrenechea, J. Fernandez, M. Pagola, F. Chiclana, H. Bustince, Construction of interval-valued fuzzy preference relations from ignorance functions and fuzzy preference relations: Application to decision making, Knowledge-Based Systems, 58 (2014), 33-44. [2] H. Bustince, P. Burillo, Mathematical analysis of interval-valued fuzzy relations: Application to approximate reasoning, Fuzzy Sets and Systems, 113 (2000), 205-219. [3] H. Bustince, J. Fernandez, A. Koles´arov´a, R. Mesiar, Generation of linear orders for intervals by means of aggregation functions, Fuzzy Sets and Systems, 220 (2013), 69-77. [4] T. Calvo, A. Koles´arov´a, M. Komornikov´a, R. Mesiar, Aggregation operators: properties, classes and construction methods, Studies in Fuzziness and Soft Computing, 97 (2002), 3-104. [5] H. Chen, L. Zhou, An approach to group decision making with interval fuzzy preference relations based on induced generalized continuous ordered weighted averaging operator, Expert Systems with Applications, 38 (2011), 13432- 13440. [6] F. Chiclana, E. Herrera-Viedma, S. Alonso, R. A. M. Pereira, Preferences and consistency issues in group decision making, Fuzzy Sets and Their Extensions: Representation, Aggregation and Models, 220 (2008), 219-237. [7] I. Couso, D. Dubois, Statistical reasoning with set-valued information: Ontic vs. epistemic views, International Journal of Approximate Reasoning, 55(7) (2014), 1502-1518. [8] B. De Baets, Aggregation of structured objects, Lecture during International Symposium on Aggregation on Bounded Lattices (ABLAT) 2014, Karadeniz Technical University, Trabzon, Turkey, June 16-20, 2014. [9] B. De Baets, H. De Meyer, On the existence and construction of T-transitive closures, Information Sciences, 152 (2003), 167-179. [10] G. Deschrijver, Quasi-arithmetic means and OWA functions in interval-valued and Atanassovs intuitionistic fuzzy set theory, Proceedings of EUSFLAT-LFA 2011, Aix-les-Bains, France, (2011), 506-513. [11] G. Deschrijver, C. Cornelis, E. E. Kerre, On the Representation of Intuitonistic Fuzzy t-Norms and t-Conorms, IEEE Transactions on Fuzzy Systems, 12 (2004), 45-61. [12] G. Deschrijver, E. E. Kerre, On the relationship between some extensions of fuzzy set theory, Fuzzy Sets and Systems, 133 (2003), 227-235. [13] G. Deschrijver, E. E. Kerre, On the position of intuitionistic fuzzy set theory in the framework of theories modelling imprecision, Information Sciences, 177 (2007), 1860-1866. [14] P. Dryga´s, B. P¸ekala, Properties of decomposable operations on some extension of the fuzzy set theory, Advances in Fuzzy Sets, Intuitionistic Fuzzy Sets, Generalized Nets and Related Topics, 1 (2008), 105-118. [15] D. Dubois, The role of fuzzy sets in decision sciences: Old techniques and new directions, Fuzzy Sets and Systems, 184(1) (2011), 3-28. [16] D. Dubois, L. Godo, H. Prade, Weighted logics for artificial intelligence an introductory discussion, International Journal of Approximate Reasoning, 55 (2014), 1819-1829. [17] D. Dubois, H. Prade, Possibility theory, Plenum Press, New York, 1988. [18] D. Dubois, H. Prade, Gradualness, uncertainty and bipolarity: Making sense of fuzzy sets, Fuzzy Sets and Systems, 192 (2012), 3-24. [19] K. Dyczkowski, Intelligent medical decision support system based on imperfect information. The case of ovarian tumor diagnosis, Studies in Computational Intelligence, 735 (2018), 1-143. [20] P. C. Fishburn, Utility theory with inexact preferences and degrees of preference, Synthese, 21 (1970), 204-221. [21] J. Fodor, Quaternary fuzzy relations in preference modelling, Proceedings of the 22nd Linz Seminar on Fuzzy Set Theory, (2001), 11-18. [22] J. Fodor, M. Roubens, Fuzzy preference modelling and multicriteria decision support in theory and decision library, Kluwer Academic Publishers, 1994. [23] L. Garmendia, R. Gonz´alez del Campo, V. L´opez, J. Recasens, Analgorithm to compute the transitive closure, a transitive approximation and a transitive opening of a fuzzy proximity, Mathware and Soft Computing, 16 (2009), 175-191. [24] M. B. Gorza lczany, A method of inference in approximate reasoning based on interval-valued fuzzy sets, Fuzzy Sets and Systems, 21(1) (1987), 1-17. [25] M. B. Gorza lczany, Interval-valued fuzzy controller based on verbal model of object, Fuzzy Sets and Systems, 28(1) (1988), 45-53. [26] M. B. Gorza lczany, Interval-valued fuzzy inference involving uncertain (inconsistent) conditional propositions, Fuzzy Sets and Systems, 29(2) (1989), 235-240. [27] M. B. Gorza lczany, An interval-valued fuzzy inference method. Some basic properties, Fuzzy Sets and Systems, 31(2) (1989), 243-251. [28] M. Grabisch, C. Labreuche, Fuzzy measures and integrals in MCDA, in: J. Figueira, S. Greco and M. Ehrgott (Eds.), Multiple criteria decision analysis: State of the art surveys, Kluwer, Dordrecht, (2005), 563-608. [29] M. Komorn´ıkov´a, R. Mesiar, Aggregation functions on bounded partially ordered sets and their classification, Fuzzy Sets and Systems, 175 (2011), 48-56. [30] D. H. Kranz, R. D. Luce, P. Suppes, A. Tversky, Foundations of measurement, Additive and Polynomial Representations, 1, Academic Press, New York, 1971. [31] F. Liu, W.-G. Zhang, L.-H. Zhang, A group decision making model based on a generalized ordered weighted geometric average operator with interval preference matrices, Fuzzy Sets and Systems, 246 (2014), 1-18. [32] D. Paternain, A. Jurio, E. Barrenechea, H. Bustince, B. Bedregal, E. Szmidt, An alternative to fuzzy methods in decision-making problems, Expert Systems with Applications, 39(9) (2012), 7729-7735. [33] B. P¸ekala, Preservation of properties of interwal-valued fuzzy relations, In: J. P. Carvalho, D. Dubois, U. Kaymak and J. M. C. Sousa (Eds.), Proceedings of the Joint International Fuzzy Systems Association World Congress and European Society of Fuzzy Logic and Technology Conference (IFSA/EUSFLAT 2009), July 20-24 Lisbon (Portugal), (2009), 1206-1210. [34] B. P¸ekala, U. Bentkowska, Generalized reciprocity property for interval-valued fuzzy setting in some aspect of social network, IWIFSGN’2016 Fifteenth International Workshop on Intuitionistic Fuzzy Sets and Generalized Nets, Warsaw, Poland, October 12-14, 2016. [35] B. P¸ekala, U. Bentkowska, B. De Baets, On comparability relations in the class of interval-valued fuzzy relations, Tatra Mountains Mathematical Publications, 66 (2016), 91-101. [36] M. Roubens, P. Vincke, Preference modelling, Springer-Verlag, Berlin, 1985. [37] R. Sambuc, Fonctions ϕ-floues: Application ´a l’aide au diagnostic en pathologie thyroidienne, Ph.D. Thesis, Universit´ e de Marseille, France, 1975 (in French). [38] I. B. T¨urksen, Interval valued fuzzy sets based on normal forms, Fuzzy Sets and Systems, 20(2) (1986), 191-210. [39] I. B. T¨urksen, T. Bilgi¸c, Interval-valued strict preference relations with Zadeh triples, Fuzzy Sets and Systems, 78 (1996), 183-195. [40] B. Van Gasse, C. Cornelis, G. Deschrijver, Interval-valued algebras and fuzzy logics, In: C. Cornelis et al. (Eds.), 35 Years of Fuzzy Set Theory, STUDFUZZ, 261 (2010), 57-82. [41] G.-L. Xu, F. Liu, An approach to group decision making based on interval multiplicative and fuzzy preference relations by using projection, Applied Mathematical Modelling, 37 (2013), 3929-3943. [42] Z. Xu, On compatibility of interval fuzzy preference relations, Fuzzy Optimization and Decision Making, 3 (2004), 217-225. [43] Z. Xu, Intuitionistic preference relations and their application in group decision making, Information Sciences, 17 (2007), 2363-2379. [44] R. R. Yager, Z. Xu, Intuitionistic and interval-valued intuitionistic fuzzy preference relations and their measures of similarity for the evaluation of agreement within a group, Fuzzy Optimization and Decision Making, 8 (2009), 123-139. [45] L. A. Zadeh, Fuzzy sets, Information and Control, 8 (1965), 338-353. [46] L. A. Zadeh, The concept of a linguistic variable and its application to approximate reasoning-I, Information Sciences, 8(1975), 199-249. | ||
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