[
Asiain, M.J., Bustince, H., Mesiar, R., Kolesarova, A. and Takac, Z. (2018). Negations with respect to admissible orders in the interval-valued fuzzy set theory, IEEE Transactions on Fuzzy Systems 26(2): 556–568.10.1109/TFUZZ.2017.2686372
]Search in Google Scholar
[
Atanassov, K.T. (1999). Intuitionistic Fuzzy Sets: Theory and Applications, Springer, Heidelberg.10.1007/978-3-7908-1870-3
]Search in Google Scholar
[
Atanassov, K.T. (2008). On the intuitionistic fuzzy implications and negations, in P. Chountas et al. (Eds), Intelligent Techniques and Tools for Novel System Architectures, Springer, Berlin, pp. 381–394.10.1007/978-3-540-77623-9_22
]Search in Google Scholar
[
Atanassov, K.T. (2012). On Intuitionistic Fuzzy Sets Theory, Springer, Heidelberg.10.1007/978-3-642-29127-2
]Search in Google Scholar
[
Atanassov, K.T. (2016). Mathematics of intuitionistic fuzzy sets, in C. Kahraman et al. (Eds), Fuzzy Logic in Its 50th Year: New Developments, Directions and Challenges, Springer, Berlin, pp. 61–86.10.1007/978-3-319-31093-0_3
]Search in Google Scholar
[
Beliakov, G., Bustince Sola, H., James, S., Calvo, T. and Fernandez, J. (2012). Aggregation for Atanassov’s intuitionistic and interval valued fuzzy sets: The median operator, IEEE Transactions on Fuzzy Systems 20(3): 487–498.10.1109/TFUZZ.2011.2177271
]Search in Google Scholar
[
Bentkowska, U. (2018). New types of aggregation functions for interval-valued fuzzy setting and preservation of pos-B and nec-B-transitivity in decision making problems, Information Sciences 424: 385–399.10.1016/j.ins.2017.10.025
]Search in Google Scholar
[
Bentkowska, U., Bustince, H., Jurio, A., Pagola, M. and Pekala, B. (2015). Decision making with an interval-valued fuzzy preference relation and admissible orders, Applied Soft Computing 35: 792–801.10.1016/j.asoc.2015.03.012
]Search in Google Scholar
[
Burillo, P. and Bustince, H. (1995). Intuitionistic fuzzy relations: Effect of Atanassov’s operators on the properties of the intuitionistic fuzzy relation, Mathware and Soft Computing 2(2): 117–148.
]Search in Google Scholar
[
Burillo, P. and Bustince, H. (1996). Entropy on intuitionistic fuzzy sets and on interval-valued fuzzy sets, Fuzzy Sets Systems 78(3): 305–316.10.1016/0165-0114(96)84611-2
]Search in Google Scholar
[
Deschrijiver, G., Cornelis, C. and Kerre, E.E. (2004). On the representation of intuitionistic fuzzy t-norms and t-conorms, IEEE Transactions on Fuzzy Systems 12(1): 45–61.10.1109/TFUZZ.2003.822678
]Search in Google Scholar
[
Deschrijver, G. and Kerre, E. (2003). On the relationship between some extensions of fuzzy set theory, Fuzzy Sets and Systems 133(2): 227–235.10.1016/S0165-0114(02)00127-6
]Search in Google Scholar
[
Drygaś, P. (2011). Preservation of intuitionistic fuzzy preference relations, Proceedings of the 7th Conference of the European Society for Fuzzy Logic and Technology (EUSFLAT-11), Aix-les-Bains, France, pp. 554–558.
]Search in Google Scholar
[
Dubois, D., Godo, L. and Prade, H. (2014). Weighted logics for artificial intelligence an introductory discussion, International Journal of Approximate Reasoning 55(9): 1819–1829.10.1016/j.ijar.2014.08.002
]Search in Google Scholar
[
Dubois, D. and Prade, H. (1988). Possibility Theory, Plenum Press, New York.
]Search in Google Scholar
[
Dubois, D. and Prade, H. (2012). Gradualness, uncertainty and bipolarity: making sense of fuzzy sets, Fuzzy Sets and Systems 192: 3–24.10.1016/j.fss.2010.11.007
]Search in Google Scholar
[
Dudziak, U. and Pękala, B. (2011). Intuitionistic fuzzy preference relations, Proceedings of the 7th Conference of the European Society for Fuzzy Logic and Technology (EUSFLAT-11), Aix-les-Bains, France, pp. 529–536.
]Search in Google Scholar
[
Grzegorzewski, P., Hryniewicz, O. and Romaniuk, M. (2020). Flexible resampling for fuzzy data, International Journal of Applied Mathematics and Computer Science 30(2): 281–297, DOI: 10.34768/amcs-2020-0022.
]Search in Google Scholar
[
Pękala, B. (2009). Preservation of properties of interval-valued fuzzy relations, Proceedings of the Joint 2009 International Fuzzy Systems Association World Congress and the 2009 European Society of Fuzzy Logic and Technology Conference, Lisbon, Portugal, pp. 1206–1210.
]Search in Google Scholar
[
Pękala, B. (2019). Uncertainty Data in Interval-Valued Fuzzy Set Theory: Properties, Algorithms and Applications, Springer, Cham.10.1007/978-3-319-93910-0
]Search in Google Scholar
[
Pękala, B., Bentkowska, U., Bustince, H., Fernandez, J. and Galar, M. (2015). Operators on intuitionistic fuzzy relations, IEEE International Conference on Fuzzy Systems (FUZZ-IEEE), Istanbul, Turkey, pp. 1–8.
]Search in Google Scholar
[
Pękala, B., Bentkowska, U. and De Baets, B. (2016). On comparability relations in the class of interval-valued fuzzy relations, Tatra Mountains Mathematical Publications 66(1): 91–101.10.1515/tmmp-2016-0023
]Search in Google Scholar
[
Pękala, B., Szmidt, E. and Kacprzyk, J. (2018). Group decision support under intuitionistic fuzzy relations: The role of weak transitivity and consistency, International Journal of Intelligent Systems 33(10): 2078–2095.10.1002/int.21923
]Search in Google Scholar
[
Pradhan, R. and Pal, M. (2017). Transitive and strongly transitive intuitionistic fuzzy matrices, Annals of Fuzzy Mathematics and Informatics 13(4): 485–498.10.30948/afmi.2017.13.4.485
]Search in Google Scholar
[
Rutkowski, T., Łapa, K. and Nielek, R. (2019). On explainable fuzzy recommenders and their performance evaluation, International Journal of Applied Mathematics and Computer Science 29(3): 595–610, DOI: 10.2478/amcs-2019-0044.10.2478/amcs-2019-0044
]Search in Google Scholar
[
Saminger, S., Mesiar, R. and Bodenhoffer, U. (2002). Domination of aggregation operators and preservation of transitivity, International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 10(1): 11–35.10.1142/S0218488502001806
]Search in Google Scholar
[
Szmidt, E. (2014). Distances and Similarities in Intuitionistic Fuzzy Sets, Springer, Cham.10.1007/978-3-319-01640-5
]Search in Google Scholar
[
Szmidt, E. and Kacprzyk, J. (2000). Distances between intuitionistic fuzzy sets, Fuzzy Sets and Systems 114(3): 505–518.10.1016/S0165-0114(98)00244-9
]Search in Google Scholar
[
Szmidt, E. and Kacprzyk, J. (2006). Distances between intuitionistic fuzzy sets: Straightforward approaches may not work, 3rd International IEEE Conference on Intelligent Systems, IS06, London, UK, pp. 716–721.
]Search in Google Scholar
[
Szmidt, E. and Kacprzyk, J. (2009). Amount of information and its reliability in the ranking of Atanassov’s intuitionistic fuzzy alternatives, in E. Rakus-Andersson et al. (Eds), Recent Advances in Decision Making, Springer, Berlin, pp. 7–19.10.1007/978-3-642-02187-9_2
]Search in Google Scholar
[
Szmidt, E. and Kacprzyk, J. (2017). A perspective on differences between Atanassov’s intuitionistic fuzzy sets and interval-valued fuzzy sets, Studies in Computational Intelligence 671: 221–237, DOI: 10.1007/978-3-319-47557-8_13.10.1007/978-3-319-47557-8_13
]Search in Google Scholar
[
Taylor, A.D. (2005). Social Choice and the Mathematics of Manipulation, Cambridge University Press, New York.10.1017/CBO9780511614316
]Search in Google Scholar
[
Xu, Y., Wanga, H. and Yu, D. (2014). Cover image weak transitivity of interval-valued fuzzy relations, Knowledge-Based Systems 63: 24–32.10.1016/j.knosys.2014.03.003
]Search in Google Scholar
[
Xu, Z. (2007). Approaches to multiple attribute decision making with intuitionistic fuzzy preference information, Systems Engineering—Theory and Practice 27(11): 62–71.10.1016/S1874-8651(08)60069-1
]Search in Google Scholar
[
Xu, Z. and Yager, R.R. (2009). 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(2): 123–139, DOI: 10.1007/s10700-009-9056-3.10.1007/s10700-009-9056-3
]Search in Google Scholar
[
Zadeh, L.A. (1965). Fuzzy sets, Information and Control 8: 338–353.10.1016/S0019-9958(65)90241-X
]Search in Google Scholar
[
Zapata, H., Bustince, H., Montes, S., Bedregal, B., Dimuro, G., Takac, Z. and Baczyński, M. (2017). Interval-valued implications and interval-valued strong equality index with admissible orders, International Journal of Approximate Reasoning 88: 91–109.10.1016/j.ijar.2017.05.009
]Search in Google Scholar