INTERPRETATION OF THE MMPI-2 TEST BASED ON FUZZY SET TECHNIQUES

Sep 17, 2026

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MMPI-2 (Minnesota Multiphasic Personality Inventory) is a psychological test used to detect pathological personality traits. After completing the items, each patient receives a codetype representing mental health. The codetype profile is verified by comparing patient data to prototypic profiles. The paper proposes a two-part mathematical model using a fuzzy expert system for codetype determination and fuzzy-number n-tuples to measure agreement via degrees of match, implemented in MATLAB Fuzzy Logic Toolbox.

LanguageEnglish

CategoryResearch & Report

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Pages12

Reading Time30 min

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Introduction

Quantitative interpretation of MMPI-2

Acta Universitatis Matthiae Belii ser. Mathematics, 16 (2010), 5{16 . Received: 23 June 2009, Accepted: 2 February 2010 . INTERPRETATION OF THE MMPI-2 TEST BASED ON FUZZY SET TECHNIQUES 􀀔 􀀓 􀀓 􀀔 􀀓 􀀔 IVETA BEBCAKOVA, JANA TALASOVA, AND PAVEL SKOBRTAL Abstract. MMPI-2 (Minnesota Multiphasic Personality Inventory) is a psychological test for detecting pathological features of personality. After answering all the items of the test each patient is assigned a codetype describing his/her mental health. The diagnosed pro􀀌le of a patient is veri􀀌ed by the comparison of his/her data to the prototypic pro􀀌le of the given codetype. This paper introduces a mathematical model for codetype determination and codetype veri􀀌cation. The model has two parts. The 􀀌rst solves the problem of codetype determination by using a fuzzy expert system to formally express the linguistic description of the original method. In the second part, each prototypic pro􀀌le is described by an n-tuple of fuzzy numbers. This allows us to e􀀋ectively 􀀌nd the degree of agreement between the pro􀀌les and data obtained from the patient. The proposed mathematical model is realized in the MATLAB Fuzzy Logic toolbox. 1. Introduction MMPI-2 (Minnesota Multiphasic Personality Inventory) is one of the most frequently used tests for characterization of personality features and psychic disorders. The 􀀌rst version of the test, MMPI, was developed by psychologist S. R. Hathaway and psychiatrist J. C. McKinley [6] of the Minnesota University. Their goal was to develop an instrument to describe patient's personality more e􀀋ectively than what was allowed by the psychiatric interview with the patient, [1] . At the same time it was desirable to replace a great number of tests, focusing on single features, by a single test capable of full characterization. The fruit of their labor was an extensive testing method with applications far beyond the clinical practice. Today, a revised version of the test, MMPI-2 [3], is used. MMPI-2 isan important screening method for detecting pathological personality features, which is used in clinical practice, as well as in entrance interviews for universities, military, police, or leading positions [7] . 2000 Mathematics Subject Classi􀀌cation. 03E72, 91E45, 93A30 . Key words and phrases. MMPI-2, Psychometry, Fuzzy expert systems, Base of rules, Linguistic variable. Use of the MMPI-2 is very demanding. The examiner needs to possess knowledge of theory and use of psychological tests; he/she should have a Master degree in personal psychology and psychopathology, [7] . Furthermore, correct interpretation of the test requires experience with the MMPI-2 and a special training. For this reason, a software with transparent results providing solid basis for the clinic deliberation would be an enormous asset. 1.1. Quantitative interpretation of MMPI-2 . An important part of the testing process is quantitative interpretation,[5] . Answers to questionnaire questions are used to saturate a large number of scales. Their rough point values are then transformed into linear T-scores. Based on values of these, a codetype of the patient is determined. The basis for the MMPI-2 interpretation is a determination of codetype, if possible. Each codetype is de􀀌ned by T-scores often clinical scales (1-Hypochondriasis, 2-Depression, 3-Hysteria, 4-Psychopathic deviate, 5-Masculinity-Feminity, 6-Paranoia, 7-Psychasthenia, 8-Schizophrenia, 9-Hypomania, 0-Social introversion) . Value of each T-score comes from the interval [0 ; 120] . Values higher than 65 are considered signi􀀌cantly elevated. According to number and type of increased clinical scales we de􀀌ne 55 di􀀋erent codetypes. Codetypes with one signi􀀌cantly elevated clinical scale are designated \Spike" (ten possible types), while two signi􀀌cantly elevated scales represent a \Two Point" (45 possible types) . For a codetype tobe well de􀀌ned, there has to be at least 􀀌ve point di􀀋erence between the T-scores o

FAQs

What is the purpose of using MMPI-2 in this paper?

MMPI-2 is presented as a screening and characterization tool for pathological personality features and psychic disorders. The paper focuses on interpreting results through codetype determination and verification.

How does the proposed model determine codetype?

The first part uses a fuzzy expert system to formalize the linguistic description of the original MMPI methodology with modified conditions. It searches for codetypes using this formalized rule-based approach.

How is agreement between a patient’s data and prototypic profiles computed?

In the second part, each prototypic profile is represented as an n-tuple of fuzzy numbers. This representation enables calculating a degree of agreement between patient data and the prototypic profiles.

Sep 17, 2026

Uploaded by Aran