THIS RESEARCH PROPOSES A SET OF TOOLS ( DEFINITIONS, THEOREMS, MODELS AND ALGORITHMS) TO SOLVE THE PROBLEM OF CONCEPTUALLY STRUCTURING OR CLASSIFYING A DATA SAMPLE. TWO MODELS (HARD AND FUZZY) ARE INTRODUCED. THESE MODELS PERMIT THE SOLVING OF THE CONCEPTUAL STRUCTURING OF SPACES IN A THEORETIC FRAME WHERE THE ATTRIBUTES USED TO DESCRIBE THE OBJECTS UNDER STUDY CAN BE OF A QUANTITATIVE OR QUALITATIVE NATURE, OR BOTH NATURES AND WHERE THE ABSENCE OF INFORMATION IS PERMITTED (MISSING VALUES). THE OBTAINING OF THE CONCEPTUAL ALGORITHMS FROM THE PROPOSED MODELS ARE DÉSCRIBED. A NEW FORMULATION IS ALSO PROPOSED OF THE CONCEPT OF THE SYMBOLIC OBJECT IN SUCH FORM THAT THE PROPOSED CONCEPTUAL MODELS REMAIN AS A PARTICULAR CASE OF THIS NEW FORMULATION. IN FACT THIS NEW PROPOSITION EXTENDS THE THEORETIC FRAME IN SUCH A MANNER THAT THE TOOLS OF THE CLASSICAL DATA ANALYSIS ALSO REMAIN AS A PARTICULAR CASE OF THE NEW FORMULATION. IN A GENERAL FORM, THE OBTAINED RESULTS CAN BE APPRECIATED SINCE THEY DO NOT EXHAUST THE DEVELOPMENT OF THIS THEMATIC, BUT THE WORK ALREADY MADE OPENS NEW RESEARCHES, ABOVE ALL, AT THE PRESENT TIME IT IS OF GREAT IMPORTANCE TO SOLVE INTELLIGENT DATA ANALYSIS PROBLEMS.THIS RESEARCH PROPOSES A SET OF TOOLS ( DEFINITIONS, THEOREMS, MODELS AND ALGORITHMS) TO SOLVE THE PROBLEM OF CONCEPTUALLY STRUCTURING OR CLASSIFYING A DATA SAMPLE. TWO MODELS (HARD AND FUZZY) ARE INTRODUCED. THESE MODELS PERMIT THE SOLVING OF THE CONCEPTUAL STRUCTURING OF SPACES IN A THEORETIC FRAME WHERE THE ATTRIBUTES USED TO DESCRIBE THE OBJECTS UNDER STUDY CAN BE OF A QUANTITATIVE OR QUALITATIVE NATURE, OR BOTH NATURES AND WHERE THE ABSENCE OF INFORMATION IS PERMITTED (MISSING VALUES). THE OBTAINING OF THE CONCEPTUAL ALGORITHMS FROM THE PROPOSED MODELS ARE DÉSCRIBED. A NEW FORMULATION IS ALSO PROPOSED OF THE CONCEPT OF THE SYMBOLIC OBJECT IN SUCH FORM THAT THE PROPOSED CONCEPTUAL MODELS REMAIN AS A PARTICULAR CASE OF THIS NEW FORMULATION. IN FACT THIS NEW PROPOSITION EXTENDS THE THEORETIC FRAME IN SUCH A MANNER THAT THE TOOLS OF THE CLASSICAL DATA ANALYSIS ALSO REMAIN AS A PARTICULAR CASE OF THE NEW FORMULATION. IN A GENERAL FORM, THE OBTAINED RESULTS CAN BE APPRECIATED SINCE THEY DO NOT EXHAUST THE DEVELOPMENT OF THIS THEMATIC, BUT THE WORK ALREADY MADE OPENS NEW RESEARCHES, ABOVE ALL, AT THE PRESENT TIME IT IS OF GREAT IMPORTANCE TO SOLVE INTELLIGENT DATA ANALYSIS PROBLEMS.