### Abstract

This article analyzes, based on Boolean approach by C.C. Ragin, how the subjective internal structure of social roles conditions the possibility of discrimination of role performance (role discrimination). I postulate, in an actor's image, a role consists of some role elements, which make up the internal hierarchical structure (role image) according to each element's importance for the role. After introducing a set of definitions and assumptions, the role discrimination is formulated as a Boolean equation, taking the role elements as independent variables and the role discrimination itself as a dependent variable. Suppose role X, and suppose a performer and an observer interact each other on role performing, each having his/her own image. In general, between such two given actors, the performance of X by the performer can be discriminated by the observer under the condition that the pattern of practicing role elements included in each image ("practical profile") coincides with each other, at least partially. Taking up a simple case of two elements and introducing the judgment rule, I examine the possibility of role discrimination for all possible combinations of the images. After that, some general propositions as to the possibility of role discrimination, that hold regardless of the number of role elements, are discussed.

Original language | English |
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Pages (from-to) | 111-121 |

Number of pages | 11 |

Journal | Journal of Mathematical Sociology |

Volume | 26 |

Issue number | 1-2 |

DOIs | |

Publication status | Published - Jan 1 2002 |

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### All Science Journal Classification (ASJC) codes

- Algebra and Number Theory
- Social Sciences (miscellaneous)
- Sociology and Political Science

### Cite this

*Journal of Mathematical Sociology*,

*26*(1-2), 111-121. https://doi.org/10.1080/00222500210529

**A boolean model of role discrimination.** / Misumi, Kazuto.

Research output: Contribution to journal › Article

*Journal of Mathematical Sociology*, vol. 26, no. 1-2, pp. 111-121. https://doi.org/10.1080/00222500210529

}

TY - JOUR

T1 - A boolean model of role discrimination

AU - Misumi, Kazuto

PY - 2002/1/1

Y1 - 2002/1/1

N2 - This article analyzes, based on Boolean approach by C.C. Ragin, how the subjective internal structure of social roles conditions the possibility of discrimination of role performance (role discrimination). I postulate, in an actor's image, a role consists of some role elements, which make up the internal hierarchical structure (role image) according to each element's importance for the role. After introducing a set of definitions and assumptions, the role discrimination is formulated as a Boolean equation, taking the role elements as independent variables and the role discrimination itself as a dependent variable. Suppose role X, and suppose a performer and an observer interact each other on role performing, each having his/her own image. In general, between such two given actors, the performance of X by the performer can be discriminated by the observer under the condition that the pattern of practicing role elements included in each image ("practical profile") coincides with each other, at least partially. Taking up a simple case of two elements and introducing the judgment rule, I examine the possibility of role discrimination for all possible combinations of the images. After that, some general propositions as to the possibility of role discrimination, that hold regardless of the number of role elements, are discussed.

AB - This article analyzes, based on Boolean approach by C.C. Ragin, how the subjective internal structure of social roles conditions the possibility of discrimination of role performance (role discrimination). I postulate, in an actor's image, a role consists of some role elements, which make up the internal hierarchical structure (role image) according to each element's importance for the role. After introducing a set of definitions and assumptions, the role discrimination is formulated as a Boolean equation, taking the role elements as independent variables and the role discrimination itself as a dependent variable. Suppose role X, and suppose a performer and an observer interact each other on role performing, each having his/her own image. In general, between such two given actors, the performance of X by the performer can be discriminated by the observer under the condition that the pattern of practicing role elements included in each image ("practical profile") coincides with each other, at least partially. Taking up a simple case of two elements and introducing the judgment rule, I examine the possibility of role discrimination for all possible combinations of the images. After that, some general propositions as to the possibility of role discrimination, that hold regardless of the number of role elements, are discussed.

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U2 - 10.1080/00222500210529

DO - 10.1080/00222500210529

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AN - SCOPUS:0036016125

VL - 26

SP - 111

EP - 121

JO - Journal of Mathematical Sociology

JF - Journal of Mathematical Sociology

SN - 0022-250X

IS - 1-2

ER -