Neural networks and fuzzy systems: a dynamical systems approach to machine intelligence
Neural networks and fuzzy systems: a dynamical systems approach to machine intelligence
A comparative assessment of measures of similarity of fuzzy values
Fuzzy Sets and Systems
Metrics and Similarity Measures for Hidden Markov Models
Proceedings of the Seventh International Conference on Intelligent Systems for Molecular Biology
CPM '98 Proceedings of the 9th Annual Symposium on Combinatorial Pattern Matching
Midpoints for fuzzy sets and their application in medicine
Artificial Intelligence in Medicine
Aggregation of asymmetric distances in Computer Science
Information Sciences: an International Journal
Information Sciences: an International Journal
The average running time of an algorithm as a midpoint between fuzzy sets
Mathematical and Computer Modelling: An International Journal
On aggregation of normed structures
Mathematical and Computer Modelling: An International Journal
A runge-kutta method with lower function evaluations for solving hybrid fuzzy differential equations
ACIIDS'13 Proceedings of the 5th Asian conference on Intelligent Information and Database Systems - Volume Part I
On quasi-metric aggregation functions and fixed point theorems
Fuzzy Sets and Systems
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Let d be a metric on the set FP(X) of fuzzy subsets of a finite set X. A midpoint of two fuzzy subsets @m,@n@?FP(X) is any fuzzy subset @x@?FP(X) such that d(@x,@m)=d(@x,@n)=12d(@m,@n). These midpoints can be used to represent ''middle ways'' or ''compromises'' between two situations described by the fuzzy subsets @m and @n. Now, the imprecise knowledge of a nucleic acid or protein sequence of length N can be modeled by means of a fuzzy biopolymer, a fuzzy subset of a kN-element set with k the number of bases, 4, in the case of nucleic acids, and of amino acids, 20, in the case of proteins. Thus, a midpoint of two fuzzy biopolymers of the same length can be understood as an average of the knowledge of the sequences represented by them. In this paper we explicitly describe the midpoints of two fuzzy biopolymers with respect to distances obtained by aggregating, through several suitable mappings, metrics on each position of the sequences represented by the fuzzy biopolymers.