Smets-Magrez axioms for R-implicators in interval-valued and intuitionistic fuzzy set theory
International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems
Unified forms of fully implicational restriction methods for fuzzy reasoning
Information Sciences: an International Journal
Generalized arithmetic operations in interval-valued fuzzy set theory
Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology - Dedicated to the 60th birthday of Etienne E. Kerre
Arithmetic operators in interval-valued fuzzy set theory
Information Sciences: an International Journal
Lattice structure of e-implications on L*
Information Sciences: an International Journal
On the cardinalities of interval-valued fuzzy sets
Fuzzy Sets and Systems
On the relevance of some families of fuzzy sets
Fuzzy Sets and Systems
Triangle algebras: A formal logic approach to interval-valued residuated lattices
Fuzzy Sets and Systems
A representation of t-norms in interval-valued L-fuzzy set theory
Fuzzy Sets and Systems
Clustering algorithm for intuitionistic fuzzy sets
Information Sciences: an International Journal
Applications of interval valued t-norms (t-conorms) to fuzzy n-ary sub-hypergroups
Information Sciences: an International Journal
A characterization of interval-valued residuated lattices
International Journal of Approximate Reasoning
Dilation and Erosion of Spatial Bipolar Fuzzy Sets
WILF '07 Proceedings of the 7th international workshop on Fuzzy Logic and Applications: Applications of Fuzzy Sets Theory
A New Method for Decision Making in the Intuitionistic Fuzzy Setting
ICAISC '08 Proceedings of the 9th international conference on Artificial Intelligence and Soft Computing
Construction of aggregation functions from data using linear programming
Fuzzy Sets and Systems
Characterizations of (weakly) Archimedean t-norms in interval-valued fuzzy set theory
Fuzzy Sets and Systems
Interval-valued fuzzy sets constructed from matrices: Application to edge detection
Fuzzy Sets and Systems
Fuzzy Optimization and Decision Making
A survey on fuzzy relational equations, part I: classification and solvability
Fuzzy Optimization and Decision Making
Fuzzy and Bipolar Mathematical Morphology, Applications in Spatial Reasoning
ECSQARU '09 Proceedings of the 10th European Conference on Symbolic and Quantitative Approaches to Reasoning with Uncertainty
Topological Residuated Lattice: A Unifying Algebra Representation of Some Rough Set Models
RSKT '09 Proceedings of the 4th International Conference on Rough Sets and Knowledge Technology
Bipolar Fuzzy Mathematical Morphology for Spatial Reasoning
ISMM '09 Proceedings of the 9th International Symposium on Mathematical Morphology and Its Application to Signal and Image Processing
On characterization of generalized interval-valued fuzzy rough sets on two universes of discourse
International Journal of Approximate Reasoning
Measuring incompatibility between Atanassov's intuitionistic fuzzy sets
Information Sciences: an International Journal
An axiomatic model for measuring contradiction and N-contradiction between two AIFSs
Information Sciences: an International Journal
Advances and challenges in interval-valued fuzzy logic
Fuzzy Sets and Systems
Fuzzy Sets and Systems
A constructive method for the definition of interval-valued fuzzy implication operators
Fuzzy Sets and Systems
Implicators based on binary aggregation operators in interval-valued fuzzy set theory
Fuzzy Sets and Systems
Information Sciences: an International Journal
On interval fuzzy S-implications
Information Sciences: an International Journal
A class of aggregation functions encompassing two-dimensional OWA operators
Information Sciences: an International Journal
On interval fuzzy residuated implications and interval quasi-implications
FSKD'09 Proceedings of the 6th international conference on Fuzzy systems and knowledge discovery - Volume 7
Fuzzy Sets and Systems
Non-Archimedean L-fuzzy normed spaces and stability of functional equations
Computers & Mathematics with Applications
Modelling of web domain visits by IF-inference system
WSEAS Transactions on Computers
IF-inference systems design for prediction of ozone time series: the case of pardubice micro-region
ICANN'10 Proceedings of the 20th international conference on Artificial neural networks: Part I
Interval valued fuzzy coimplication
WoLLIC'10 Proceedings of the 17th international conference on Logic, language, information and computation
Intuitionistic fuzzy probability
SBIA'10 Proceedings of the 20th Brazilian conference on Advances in artificial intelligence
Relating De Morgan triples with Atanassov's intuitionistic De Morgan triples via automorphisms
International Journal of Approximate Reasoning
On the role of complete lattices in mathematical morphology: From tool to uncertainty model
Information Sciences: an International Journal
Lattices of fuzzy sets and bipolar fuzzy sets, and mathematical morphology
Information Sciences: an International Journal
Fault diagnosis for smart grid with uncertainty information based on data
ISNN'11 Proceedings of the 8th international conference on Advances in neural networks - Volume Part II
Robustness of interval-valued fuzzy inference
Information Sciences: an International Journal
Triangular norms which are meet-morphisms in interval-valued fuzzy set theory
Fuzzy Sets and Systems
Fuzzy bipolar mathematical morphology: a general algebraic setting
ISMM'11 Proceedings of the 10th international conference on Mathematical morphology and its applications to image and signal processing
WILF'11 Proceedings of the 9th international conference on Fuzzy logic and applications
Fuzzy linear programming under interval uncertainty based on IFS representation
Fuzzy Sets and Systems
Triangle algebras: towards an axiomatization of interval-valued residuated lattices
RSCTC'06 Proceedings of the 5th international conference on Rough Sets and Current Trends in Computing
An alternative to fuzzy methods in decision-making problems
Expert Systems with Applications: An International Journal
On correlation measures of intuitionistic fuzzy sets
IDEAL'06 Proceedings of the 7th international conference on Intelligent Data Engineering and Automated Learning
Consistency of 2D and 3D distances of intuitionistic fuzzy sets
Expert Systems with Applications: An International Journal
Journal of Mathematical Imaging and Vision
Algebraic structures of interval-valued fuzzy ( S,N)-implications
International Journal of Approximate Reasoning
Mathematical morphology on bipolar fuzzy sets: general algebraic framework
International Journal of Approximate Reasoning
A general frame for intuitionistic fuzzy rough sets
Information Sciences: an International Journal
L-intuitionistic fuzzy σ-algebras
Computers & Mathematics with Applications
Complete solution sets of inf → interval-valued fuzzy relation equations
Information Sciences: an International Journal
On the representation of cardinalities of interval-valued fuzzy sets: The valuation property
Fuzzy Sets and Systems
Interval representations, Łukasiewicz implicators and Smets-Magrez axioms
Information Sciences: an International Journal
Application of linear programming with I-fuzzy sets to matrix games with I-fuzzy goals
Fuzzy Optimization and Decision Making
Atanassov's intuitionistic fuzzy probability and Markov chains
Knowledge-Based Systems
Intuitionistic fuzzy PRI-AND and PRI-OR aggregation operators
Information Fusion
Computers and Industrial Engineering
Interval-valued fuzzy coimplications and related dual interval-valued conjugate functions
Journal of Computer and System Sciences
Information Sciences: an International Journal
On an algebra of linguistic truth-valued intuitionistic lattice-valued logic
Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology - Recent Advances in Soft Computing: Theories and Applications
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Intuitionistic fuzzy sets form an extension of fuzzy sets: while fuzzy sets give a degree to which an element belongs to a set, intuitionistic fuzzy sets give both a membership degree and a nonmembership degree. The only constraint on those two degrees is that their sum must be smaller than or equal to 1. In fuzzy set theory, an important class of triangular norms and conorms is the class of continuous Archimedean nilpotent triangular norms and conorms. It has been shown that for such t-norms T there exists a permutation φ of [0,1] such that T is the φ-transform of the Lukasiewicz t-norm. In this paper we introduce the notion of intuitionistic fuzzy t-norm and t-conorm, and investigate under which conditions a similar representation theorem can be obtained.