On the implication operator in fuzzy logic
Information Sciences: an International Journal
On fuzzy implication operators
Fuzzy Sets and Systems
Fuzzy implication operators and generalized fuzzy method of cases
Fuzzy Sets and Systems
Contrapositive symmetry of fuzzy implications
Fuzzy Sets and Systems
A first course in fuzzy logic
Cryptography and network security (2nd ed.): principles and practice
Cryptography and network security (2nd ed.): principles and practice
A new class of fuzzy implications, axioms of fuzzy implication revisited
Fuzzy Sets and Systems
A survey on different triangular norm-based fuzzy logics
Fuzzy Sets and Systems - Special issue on analytical and structural considerations in fuzzy modeling
On global requirements for implication operators in fuzzy modus ponens
Fuzzy Sets and Systems - Special issue on fuzzy modeling and dynamics
Fuzzy Reasoning in Decision Making and Optimization
Fuzzy Reasoning in Decision Making and Optimization
Finiteness in Infinite-Valued Σukasiewicz Logic
Journal of Logic, Language and Information
Automorphisms, negations and implication operators
Fuzzy Sets and Systems - Implication operators
Fuzzy Expert Systems: Theory and Applications
Fuzzy Expert Systems: Theory and Applications
On some new classes of implication operators and their role in approximate reasoning
Information Sciences—Informatics and Computer Science: An International Journal
IEEE Transactions on Computers
XOR-Based Schemes for Fast Parallel IP Lookups
Theory of Computing Systems
Application-specific reconfigurable XOR-indexing to eliminate cache conflict misses
Proceedings of the conference on Design, automation and test in Europe: Proceedings
Computer Security and Cryptography
Computer Security and Cryptography
Yager's new class of implications Jf and some classical tautologies
Information Sciences: an International Journal
On the characterizations of fuzzy implications satisfying I(x,y)=I(x,I(x,y))
Information Sciences: an International Journal
Two types of implications derived from uninorms
Fuzzy Sets and Systems
Quantum Computer Science: An Introduction
Quantum Computer Science: An Introduction
(S, N)- and R-implications: A state-of-the-art survey
Fuzzy Sets and Systems
Fuzzy sets in pattern recognition and machine intelligence
Fuzzy Sets and Systems
Interval valued QL-implications
WoLLIC'07 Proceedings of the 14th international conference on Logic, language, information and computation
On interval fuzzy S-implications
Information Sciences: an International Journal
Atanassov's intuitionistic fuzzy probability and Markov chains
Knowledge-Based Systems
Aggregating fuzzy implications
Information Sciences: an International Journal
On the associative property of fuzzy Xor connectives
Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology
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The main contribution of this paper is to introduce an autonomous definition of the connective ''fuzzy exclusive or'' (fuzzy Xor, for short), which is independent from others connectives. Also, two canonical definitions of the connective Xor are obtained from the composition of fuzzy connectives, and based on the commutative and associative properties related to the notions of triangular norms, triangular conorms and fuzzy negations. We show that the main properties of the classical connective Xor are preserved by the connective fuzzy Xor, and, therefore, this new definition of the connective fuzzy Xor extends the related classical approach. The definitions of fuzzy Xor-implications and fuzzy E-implications, induced by the fuzzy Xor connective, are also studied, and their main properties are analyzed. The relationships between the fuzzy Xor-implications and the fuzzy E-implications with automorphisms are explored.