**:** ..
**:**
**:** 68
**:**
**:** 2017
**:** .. // . 68. .: , 2017. .30-46. URL: https://doi.org/10.25728/ubs.2017.68.2

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** (.):** ordered set, enumeration function, utility (value) function, leximin, leximax, rating

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** (.):** After discussing the notion of utility and utility function, we introduce a concept of reper value function. It enumerates all the elements of the finite ordered set so that for those elements, which can play the role of reference levels (of preference, quality, efficiency, or, conversely, harm, danger, etc.) and to be characterized by meaningful estimates (e.g., verbal assessments "excellent", "good", etc.) the appropriate numerical scores (e.g., 5, 4, etc.) will be assigned. We give several examples of such functions representing practical interest. They are associated with leximin and leximax relations that are used for modeling of preferences in multicriteria problems with criteria of equal importance, when the decrease in the low values of some criteria are not compensated by an increase in the larger values of other criteria. We show how to build the reference functions when the criteria have different importance, and also when criterial structure is hierarchical.

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