Negations on type-2 fuzzy sets

Fuzzy Sets and Systems

Volumn 252, Issue , 2014, Pages 111-124

  Hernández, Pablo ^a   Cubillo, Susana ^b   Torres Blanc, Carmen ^b  

^a UNIVERSIDAD NACIONAL EXPERIMENTAL DEL TÁCHIRA   (Venezuela)

^b UNIVERSIDAD POLITÉCNICA DE MADRID   (Spain)

Author keywords

De Morgan's laws; Negation; Normal and convex functions; Strong negation; Type 2 fuzzy sets

Indexed keywords

FUNCTIONS;

CONVEX FUNCTIONS; DE MORGAN; NEGATION; STRONG NEGATIONS; TYPE-2 FUZZY SET;

FUZZY SETS;

EID: 84905390488     PISSN: 01650114     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.fss.2013.12.004     Document Type: Article

References (23)

1. K. Atanassov Intuitionistic Fuzzy Sets 1999 Physica-Verlag Heidelberg, New York
2. H. Bustince Indicator of inclusion grade for interval-valued fuzzy sets. Application to approximate reasoning based on interval-valued fuzzy sets Int. J. Approx. Reason. 23 2000 137 209
3. H. Bustince, J. Kacprzyk, and V. Mohedano Intuitionistic fuzzy generators-application to intuitionistic fuzzy complementation Fuzzy Sets Syst. 114 2000 485 504
4. H. Bustince, E. Barrenechea, and M. Pagola Generation of interval-valued fuzzy and Atanassov's intuitionistic fuzzy connectives from fuzzy connectives and from operators: laws for conjunctions and disjunctions, amplitude Int. J. Intell. Syst. 23 2008 680 714
5. G. Deschrijver, C. Cornelis, and E. Kerre Intuitionistic fuzzy connectives revisited Proc. 9th Int. Conf. Information Processing Management Uncertainty Knowledge-Based Systems 2002 1839 1844
6. Z. Gera, and J. Dombi Exact calculations of extended logical operations on fuzzy truth values Fuzzy Sets Syst. 159 11 2008 1309 1326
7. Z. Gera, and J. Dombi Type-2 implications on non-interactive fuzzy truth values Fuzzy Sets Syst. 159 22 2008 3014 3032
8. J. Goguen L-fuzzy sets J. Math. Anal. Appl. 18 1 1967 623 668
9. M.B. Gorzalczany A method of inference in approximate reasoning based on interval-valued fuzzy sets Fuzzy Sets Syst. 21 1987 1 17
10. I. Grattan-Guiness Fuzzy membership mapped onto interval and many-valued quantities Z. Math. Log. Grundl. Math. 22 1975 149 160
11. J. Harding, C. Walker, and E. Walker Convex normal functions revisited Fuzzy Sets Syst. 161 2010 1343 1349
12. J. Harding, C. Walker, and E. Walker Lattices of convex normal functions Fuzzy Sets Syst. 159 2008 1061 1071
13. K.U. Jahn Intervall-wertige Mengen Math. Nachr. 68 1975 115 132
14. J. Mendel, and R. Jhon Type-2 fuzzy sets made simple IEEE Trans. Fuzzy Syst. 10 2 2002 117 127
15. M. Mizumoto, and K. Tanaka Fuzzy sets of type-2 under algebraic product and algebraic sum Fuzzy Sets Syst. 5 1981 277 290
16. R. Sambuc Function Φ-flous. Application a l'aide au diagnostic en pathologie thyroidienne PhD thesis 1975 Univ. Marseille France
17. M. Mizumoto, and K. Tanaka Some properties of fuzzy sets of type-2 Inf. Control 31 1976 312 340
18. I.B. Turksen Interval-valued fuzzy sets based on normal forms Fuzzy Sets Syst. 20 1986 191 210
19. E. Trillas Sobre funciones de negación en la teoría de conjuntos difusos Stochastica 3 1 1979 47 60 (in Spanish). Reprinted (English version) S. Barro, Advances of Fuzzy Logic 1998 Universidad de Santiago de Compostela 31 43
20. C. Walker, and E. Walker Some general comments on fuzzy sets of type-2 Int. J. Intell. Syst. 24 2009 62 75
21. C. Walker, and E. Walker The algebra of fuzzy truth values Fuzzy Sets Syst. 149 2005 309 347
22. L. Zadeh Fuzzy sets Inf. Control 20 1965 301 312
23. L. Zadeh The concept of a linguistic variable and its application to approximate reasoning - I Inf. Sci. 8 1975 199 249