Bipolar fuzzy integrals
Copyright policy )Bipolar fuzzy integrals
In decision analysis and especially in multiple criteria decision analysis, several non additive integrals have been introduced in the last sixty years. Among them, we remember the Choquet integral, the Shilkret integral and the Sugeno integral. Recently, the bipolar Choquet integral has been proposed for the case in which the underlying scale is bipolar. In this paper we propose the bipolar Shilkret integral and the bipolar Sugeno integral. Moreover, we provide an axiomatic characterization of all these three bipolar fuzzy integrals.
15 pages
- University of Portsmouth United Kingdom
- University of Catania Italy
Non-additive measures, Fuzzy measure theory, Business and Management, bi-capacity, /dk/atira/pure/core/subjects/business, Bipolar fuzzy integrals, Decision theory, Non-additive measures; Bipolar fuzzy integrals; Bi-capacity, Functional Analysis (math.FA), Mathematics - Functional Analysis, Multiple criteria evaluation, multiple criteria evaluation, FOS: Mathematics, bipolar fuzzy integrals, Bi-capacity, non-additive measures
Non-additive measures, Fuzzy measure theory, Business and Management, bi-capacity, /dk/atira/pure/core/subjects/business, Bipolar fuzzy integrals, Decision theory, Non-additive measures; Bipolar fuzzy integrals; Bi-capacity, Functional Analysis (math.FA), Mathematics - Functional Analysis, Multiple criteria evaluation, multiple criteria evaluation, FOS: Mathematics, bipolar fuzzy integrals, Bi-capacity, non-additive measures
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).29 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Top 10% influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Top 10% impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Top 10%
Citations provided by BIP!Popularity provided by BIP!