| تعداد نشریات | 31 |
| تعداد شمارهها | 834 |
| تعداد مقالات | 8,015 |
| تعداد مشاهده مقاله | 14,853,135 |
| تعداد دریافت فایل اصل مقاله | 9,586,947 |
UNCERTAINTY DATA CREATING INTERVAL-VALUED FUZZY RELATION IN DECISION MAKING MODEL WITH GENERAL PREFERENCE STRUCTURE | ||
| Iranian Journal of Fuzzy Systems | ||
| مقاله 2، دوره 15، شماره 6، بهمن و اسفند 2018، صفحه 1-16 اصل مقاله (422.96 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22111/ijfs.2018.4362 | ||
| نویسنده | ||
| Barbara Pekala* | ||
| Interdisciplinary Centre for Computational Modelling, Faculty of Mathematics and Natural Sciences, University of Rzeszow, Pigonia 1, 35-310 Rzeszow, Poland | ||
| چکیده | ||
| The paper introduces a new approach to preference structure, where from a weak preference relation derive the following relations: strict preference, indifference and incomparability, which by aggregations and negations are created and examined. We decomposing a preference relation into a strict preference, an indifference, and an incomparability relation. This approach allows one to quantify different types of uncertainty in selecting alternatives. In presented preference structure we use interval-valued fuzzy relations, which can be interpreted as a tool that may help to model in a better way imperfect information, especially under imperfectly defined facts and imprecise knowledge. Preference structures are of great interest nowadays because of their applications, so we propose at the end the algorithm of decision making by use new preference structure. | ||
| کلیدواژهها | ||
| Interval-valued fuzzy relations؛ Preference relations؛ Reciprocity property | ||
| مراجع | ||
|
[1] J. Aczel, Lectures on Functional Equations and Their Applications, Academic press, New York, London, 1966. [2] C. Alsina, On a family of connectives for fuzzy sets, Fuzzy Sets and Systems, 16 (1985), 231-235. [3] M. J. Asiain, H. Bustince, B. Bedregal, Z. Takac, M. Baczynski, D. Paternain and G. Dimuro, About the Use of Admissible Order for Defining Implication Operators, Cham: Springer International Publishing(2016), 353-362. [4] M. J. Asiain, H. Bustince, R. Mesiar, A. Kolesarova and Z. Takac, Negations with respect to admissible orders in the interval-valued fuzzy set theory, IEEE Transactions on Fuzzy Systems, PP(99) (2017), 1{26. [5] E. Barrenechea, J. Fernandez, M. Pagola, F. Chiclana and H. Bustince, Construction of interval-valued fuzzy preference relations from ignorance functions and fuzzy preference re- lations: application to decision making, Knowledge-Based Systems, 58 (2014), 33{44. [6] B. Bedregal, On interval fuzzy negations, Fuzzy Sets and Systems, 161(17) (2010) 2290{2313. [7] U. Bentkowska, B. Pekala, H. Bustince, J. Fernandez, A. Jurio and K. Balicki, N-reciprocity property for interval-valued fuzzy relations with an application to group decision making prob- lems in social networks, International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 25, Suppl. 1 (2017), 43{72. [8] H. Bustince, M. Pagola, R. Mesiar, E. Hullermeier and F. Herrera, Grouping, overlap and gen- eralized bientropic functions for fuzzy modeling of pairwise comparisons, IEEE Transactions on fuzzy systems, 20(3) (2012), 405{415. [9] G. Birkho, Lattice Theory, AMS Coll. Publ. 25, Providence, 1967. [10] T. Calvo, On mixed De Morgan triplets, Fuzzy Sets and Systems, 50 (1992), 47-50. [11] T. Calvo, B. De Baets and J. Fodor, The functional equations of Frank and Alsina for uninorms and nullnorms, Fuzzy Sets and Systems, 120 (2001), 385-394. [12] T. Calvo, A. Kolesarova, M. Komornikova and R. Mesiar, Aggregation operators: properties, classes and construction methods, In: Calvo, T., et al. (eds.), Aggregation Operators New trends and Applications, Physica-Verlag, Heidelberg(2002), 3{104. [13] H. Chen and 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. [14] F. Chiclana, E. Herrera-Viedma, S. Alonso and R. A. M. Pereira, Preferences and consistency issues in group decision making, in Bustince, H., at al. (eds.), Fuzzy Sets and Their Extensions: Representation, Aggregation and Models, Springer-Verlag, Berlin, (2008), 219{237. [15] F. Chiclana, F. Herrera and E. Herrera-Viedma, Integrating three representation models in fuzzy multipurpose decision making based on fuzzy preference relations, Fuzzy Sets and Systems, 97(1) (1998), 33-48. [16] B. De Baets, B. Van de Walle and E. Kerre, Fuzzy preference structures without incompara- bility, Fuzzy Sets and Systems, 76(3) (1995), 333-348. [17] G. Deschrijver, C. Cornelis and E. E. Kerre, On the Representation of Intuitonistic Fuzzy t-Norms and t-Conorms, IEEE Trans. Fuzzy Syst., 12 (2004), 45{61. [18] G. Deschrijver and E. Kerre, Aggregation Operators in Interval-valued Fuzzy and Atanassovs Intuitionistic Fuzzy Set Theory, In: Bustince, H., et al. (eds.) Fuzzy Sets and their Extensions: Representation, Aggregation and Models, Springer, (2008), 183{203. [19] G. Deschrijver, Quasi-arithmetic means and OWA functions in interval-valued and Atanassovs intuitionistic fuzzy set theory, in: Galichet, S., et al. (eds.), Proceedings of EUSFLAT-LFA 2011, 18-22.07.2011, Aix-les-Bains, France, (2011), 506{513. [20] P. Drygas and B. Pekala, Properties of Decomposable Operations on some Extension of the Fuzzy Set Theory, In: Atanassov, K.T., Hryniewicz, O., Kacprzyk, J. et al. (eds.), Advances in Fuzzy Sets, Intuitionistic Fuzzy Sets, Generalized Nets and Related Topics, EXIT, Warsaw, (2008), 105{118. [21] J. Fodor and M. Roubens, Fuzzy Preference Modelling and Multicriteria Decision Support in Theory and Decision Library, Kluwer Academic Publishers, 1994. [22] S. Freson, B. De Baets and H. De Meyer, Closing reciprocal relations w.r.t. stochastic transitivity, Fuzzy Sets and Systems, 241 (2014), 2{26. [23] M. B. Gorza lczany, A method of inference in approximate reasoning based on interval-valued fuzzy sets, Fuzzy Sets Syst., 21(1) (1987), 1{17. [24] E. P. Klement, R. Mesiar and E. Pap, Triangular Norms, Kluwer Acad. Publ., Dordrecht, 2000. [25] M. Komornkova and R. Mesiar, Aggregation functions on bounded partially ordered sets and their classification, Fuzzy Sets and Systems, 175 (2011), 48{56. [26] F. Liu, W. G. Zhang and 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. [27] B. Llamazares and B. De Baets, Fuzzy strict preference relations compatible with fuzzy or- derings, International Uncertainty Fuzziness and Knowledge-Based Systems, 18(1) (2010), 13{24. [28] S. V. Ovchinnikov and M. Roubens, On strict preference relations, Fuzzy Sets and Systems, 43 (1991), 319-326. [29] D. Paternain, A. Jurio, E. Barrenechea, H. Bustince, B. Bedregal and E. Szmidt, An alterna- tive to fuzzy methods in decision-making problems, Expert Systems with Applications, 39(9) (2012), 7729{7735. [30] B. Pekala and U. Bentkowska, Generalized reciprocity property for interval-valued fuzzy set- ting in some aspect of social network, IWIFSGN'2016 Fifteenth International Workshop on Intuitionistic Fuzzy Sets and Generalized Nets, Warsaw, Poland, October 12{14, Springer, 2016. [31] A. Pradera, G. Beliakov, H. Bustince and B. De Baets, A review of the relationships between implication, negation and aggregation functions from the point of view of material implication, Inf. Sci., 329 (2016), 357{380. [32] M. Roubens and P. Vincke, Preference Modelling, Springer-Verlag, Berlin, 1985. [33] R. Sambuc, Fonctions Ø-floues: Application a l'aide au diagnostic en pathologie thyroidi- enne, Ph.D. Thesis, Universite de Marseille, France, 1975 (in French). [34] J. Sanz, A. Fernandez, H. Bustince and F. Herrera, Improving the performance of fuzzy rule-based classification systems with interval-valued fuzzy sets and genetic amplitude tuning, Information Sciences, 180(19) (2010), 3674{3685. [35] J. Sanz, A. Fernandez, H. Bustince and F. Herrera, A genetic tuning to improve the perfor- mance of fuzzy rule-based classification systems with intervalvalued fuzzy sets: degree of ig- norance and lateral position, International Journal of Approximate Reasoning, 52(6) (2011), 751{766. [36] I. B. Turksen and T. Bilgic, Interval-valued strict preference relations with Zadeh triples, Fuzzy Sets and Systems, 78 (1996), 183{195. [37] Z. Xu, On compatibility of interval fuzzy preference relations, Fuzzy Optimization and Decision Making, 3 (2004), 217{225. [38] G. L. Xu and 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. [39] L. A. Zadeh, Fuzzy sets, Information and Control, 8 (1965), 338{353. [40] L. A. Zadeh, The Concept of a Linguistic Variable and its Application to Approximate Reasoning-I, Information Sciences, 8 (1975), 199{249. | ||
|
آمار تعداد مشاهده مقاله: 1,087 تعداد دریافت فایل اصل مقاله: 752 |
||