Hierarchical bipolar fuzzy queries: Towards more human consistent flexible queries

Abstract

We are concerned with the so-called bipolar database queries which are meant here as those in which the query is composed of a necessary and optional part connected with a non-conventional aggregation operator "and possibly" as, for instance, in the query "find houses in a database of a real estate agency which are cheap and possibly close to a railroad station". We first analyse some foundational issues related to the bivariate unipolar scales employed, and various interpretations of the "and possibly" aggregation operator. We concentrate on its logical representation via various connectives known in multivalued (fuzzy) logic. We propose a novel concept of a hierarchical bipolar database query in which, basically, the original query is considered a level 0 query at the bottom of the precisiation hierarchy, then its necessary and optional parts are assumed to be bipolar queries themselves. This makes it possible to further precisiate the user's intentions/preferences. A level 1 of precisiation is obtained, and the process is continued as far as it is necessary for the user to adequately reflect his/her intentions/preferences as to what is sought.

Contextual bipolar queries: “or if impossible” operator case

“…Possible applications of the considered operators are multitude. Some of them has been already explored in [12,13] and [2] but this is just the beginning.…”

“…A further step towards a better representation of the user preferences and intentions may be bipolar queries. The concept has been originally introduced by Dubois and Prade [5] and then further developed by many authors including Dubois and Prade themselves [6,7,8,9], Kacprzyk and Zadrożny [10,11,12,13], De Tré and his team [14,15,16], Bosc and Pivert [17,18,19], Lietard with collaborators [20,21],etc. The idea behind this concept is to consider independently the negative and positive aspects of (conditions on) the data sought.…”

A novel approach to hierarchical contextual bipolar queries: A winnow operator approach

“…Now, by following the argument for the hierarchical bipolar queries, proposed by Kacprzyk and Zadrożny (2013a) (see also a related concept of a compound bipolar query, cf. Kacprzyk and Zadrożny, 2013b, 2017, 2018, 2019, we will present how the degrees of truth for particular tuples are calculated for the contextual bipolar queries in a hierarchical context.…”

A new approach of bipolar valued fuzzy set theory applied on semigroups

“…In 2020, Yiarayong 25 applied the theory of intervalvalued fuzzy soft sets (IVFSSs) to semigroups and introduced the notion of interval-valued fuzzy soft sets (IVFSSs), which is a generalization of fuzzy soft sets (FSSs). After fuzzy set theory, many set theories have been developed interval-valued fuzzy set theory and BFS theory, [26][27][28][29][30][31][32][33][34][35][36] and so forth.…”