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Soft Computing
Erschienen in: Soft Computing 20/2020

04.09.2020 | Foundations

On decision evaluation functions in three-way decision spaces derived from overlap and grouping functions

verfasst von: Zihang Jia, Junsheng Qiao

Erschienen in: Soft Computing | Ausgabe 20/2020

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Abstract

Overlap and grouping functions, as two kinds of particular binary aggregation functions, have been continuously discussed in the literature for their vast preponderance in some real applications. Meanwhile, after Hu introduced the notion of three-way decision spaces, the decision evaluation functions in three-way decision spaces constructed from the so-called semi-decision evaluation functions have been investigated consistently. This paper continues to consider this research topic and mainly focuses the decision evaluation functions in three-way decision spaces obtained from overlap and grouping functions. Firstly, based on overlap and grouping functions, we give several methods of constructing semi-decision evaluation functions in semi-three-way decision spaces. Secondly, we show some novel semi-decision evaluation functions which are related to fuzzy sets, interval-valued fuzzy sets, fuzzy relations and hesitant fuzzy sets, respectively. Finally, using overlap and grouping functions, we get some ways to construct decision evaluation functions in three-way decision spaces from semi-decision evaluation functions in semi-three-way decision spaces.
Vorheriger Artikel Attribute reduction of SE-ISI concept lattices for incomplete contexts
Nächster Artikel An improved multi-sensor D–S rule for conflict reassignment of failure rate of set

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Literatur
Afridi M, Azam N, Yao J (2020) Variance based three-way clustering approaches for handling overlapping clustering. Int J Approx Reason 118:47–63MathSciNetMATHCrossRef
Bedregal B, Bustince H, Palmeira E, Dimuro G, Fernandez J (2017) Generalized interval-valued OWA operators with interval weights derived from interval-valued overlap functions. Int J Approx Reason 90:1–16MathSciNetMATHCrossRef
Bustince H, Fernández J, Mesiar R, Montero J, Orduna R (2009) Overlap index, overlap functions and migrativity. In: Proceedings of IFSA/EUSFLAT conference, pp 300–305
Bustince H, Pagola M, Mesiar R, Hüllermeier E, Herrera F (2012) Grouping, overlaps, and generalized bientropic functions for fuzzy modeling of pairwise comparisons. IEEE Trans Fuzzy Syst 20:405–415CrossRef
Cabitza F, Ciucci D, Locoro A (2017) Exploiting collective knowledge with three-way decision theory: cases from the questionnaire-based research. Int J Approx Reason 83:356–370MathSciNetMATHCrossRef
Cao M, Hu BQ, Qiao J (2018) On interval \(({\mathbb{G}},{\mathbb{N}})\)-implications and \(({\mathbb{O}},{\mathbb{G}},{\mathbb{N}})\)-implications derived from interval overlap and grouping functions. Int J Approx Reason 100:135–160MathSciNetMATHCrossRef
De Miguel L, Gómez D, Rodríguez JT, Montero J, Bustince H, Dimuro GP, Sanz JA (2019) General overlap functions. Fuzzy Sets Syst 372:81–96MathSciNetMATHCrossRef
Deng W (2020) An effective improved co-evolution ant colony optimization algorithm with multi-strategies and its application. Int J Bio-Inspired Comput 1–10
Dimuro GP, Bedregal B, Bustince H, Asiáin MJ, Mesiar R (2016) On additive generators of overlap functions. Fuzzy Sets Syst 287:76–96MathSciNetMATHCrossRef
Dimuro GP, Bedregal B, Bustince H, Jurio A, Baczyński M, Miś K (2017) \(QL\)-operations and \(QL\)-implication functions constructed from tuples \((O, G, N)\) and the generation of fuzzy subsethood and entropy measures. Int J Approx Reason 82:170–192MathSciNetMATHCrossRef
Dimuro GP, Bedregal B, Fernandez J, Sesma-Sara M, Pintor JM, Bustince H (2019) The law of \(O\)-conditionality for fuzzy implications constructed from overlap and grouping functions. Int J Approx Reason 105:27–48MathSciNetMATHCrossRef
Elkano M, Galar M, Sanz J, Fernández A, Barrenechea E, Herrera F, Bustince H (2015) Enhancing multi-class classification in FARC-HD fuzzy classifier: on the synergy between n-dimensional overlap functions and decomposition strategies. IEEE Trans Fuzzy Syst 23:1562–1580CrossRef
Elkano M, Galar M, Sanz J, Bustince H (2016) Fuzzy rule-based classification systems for multi-class problems using binary decomposition strategies: on the influence of n-dimensional overlap functions in the fuzzy reasoning method. Inf Sci 332:94–114CrossRef
Elkano M, Galar M, Sanz JA, Schiavo PF, Pereira S Jr, Dimuro GP, Borges EN, Bustince H (2018) Consensus via penalty functions for decision making in ensembles in fuzzy rule-based classification systems. Appl Soft Comput 67:728–740CrossRef
Gómez D, Rodríguez JT, Montero J, Bustince H, Barrenechea E (2016a) n-dimensional overlap functions. Fuzzy Sets Syst 287:57–75MathSciNetMATHCrossRef
Gómez D, Rodríguez JT, Yáñez J, Montero J (2016b) A new modularity measure for Fuzzy Community detection problems based on overlap and grouping functions. Int J Approx Reason 74:88–107MathSciNetMATHCrossRef
Goudey R (2007) Do statistical inferences allowing three alternative decision give better feedback for environmentally precautionary decision-making. J Environ Manag 85:338–344CrossRef
He X, Wei L, She Y (2018) L-fuzzy concept analysis for three-way decisions: basic definitions and fuzzy inference mechanisms. Int J Mach Learn Cybern 9:1857–1867CrossRef
Herbert JP, Yao JT (2009) Criteria for choosing a rough set model. J Comput Math Appl 57:908–918MATHCrossRef
Hu BQ (2016) Three-way decision spaces based on partially ordered sets and three-way decisions based on hesitant fuzzy sets. Knowl Based Syst 91:16–31CrossRef
Hu BQ (2017) Three-way decisions based on semi-three-way decision spaces. Inf Sci 382–383:415–440MATHCrossRef
Hu BQ, Wong H, Yiu KFC (2016) The aggregation of multiple three-way decision space. Knowl Based Syst 98:241–249CrossRef
Hu BQ, Wong H, Yiu KFC (2017) On two novel types of three-way decisions in three-way decision spaces. Int J Approx Reason 82:285–306MathSciNetMATHCrossRef
Hu J, Yang Y, Chen X (2018) A novel TODIM method-based three-Way decision model for medical treatment selection. Int J Fuzzy Syst 20:1240–1255MathSciNetCrossRef
Jiao L, Yang H, Li S (2020) Three-way decision based on decision-theoretic rough sets with single-valued neutrosophic information. Int J Mach Learn Cybern 11:657–665CrossRef
Jurio A, Bustince H, Pagola M, Pradera A, Yager R (2013) Some properties of overlap and grouping functions and their application to image thresholding. Fuzzy Sets Syst 229:69–90MathSciNetMATHCrossRef
Lang G, Miao D, Cai M (2017) Three-way decision approaches to conflict analysis using decision-theoretic rough set theory. Inf Sci 406–407:185–207MATHCrossRef
Le VT, Hu BQ (2016) Three-way decisions based on covering rough set. J Intell Fuzzy Syst 30:1763–1772MATHCrossRef
Li Y, Zhang C, Swan JR (2000) An information filtering model on the Web and its application in JobAgent. Knowl Based Syst 13:285–296CrossRef
Li H, Zhang L, Huang B, Zhou X (2016) Sequential three-way decision and granulation for cost-sensitive face recognition. Knowl Based Syst 91:241–251CrossRef
Li X, Yi H, She Y, Sun B (2017b) Generalized three-way decision models based on subset evaluation. Int J Approx Reason 83:142–159MathSciNetMATHCrossRef
Liang D, Liu D, Kobina A (2016) Three-way group decisions with decision-theoretic rough sets. Inf Sci 345:46–64CrossRef
Liu H, Zhao B (2019) On distributivity equations of implications over overlap functions and contrapositive symmetry equations of implications. J Intell Fuzzy Syst 36:283–294CrossRef
Liu D, Yao YY, Li TR (2011) Three-way investment decisions with decision-theoretic rough sets. Int J Intell Syst 4:66–74CrossRef
Liu D, Liang D, Wang C (2016) A novel three-way decision model based on incomplete information system. Knowl Based Syst 91:32–45CrossRef
Lucca G, Dimuro GP, Mattos V, Bedregal B, Bustince H, Sanz JA (2015) A family of Choquet-based nonassociative aggregation functions for application in fuzzy rule-based classification systems. In: 2015 IEEE international conference on fuzzy systems (FUZZ-IEEE), Los Alamitos, pp 1–8
Paternain D, Bustince H, Pagola M, Sussner P, Kolesárová A, Mesiar R (2016) Capacities and overlap indexes with an application in fuzzy rule-based classification systems. Fuzzy Sets Syst 305:70–94MathSciNetMATHCrossRef
Peters JF, Ramanna S (2016) Proximal three-way decisions: theory and applications in social networks. Knowl Based Syst 91:4–15CrossRef
Qiao J (2019b) On distributive laws of uninorms over overlap and grouping functions. IEEE Trans Fuzzy Syst 27:2279–2292CrossRef
Qiao J, Hu BQ (2017) On interval additive generators of interval overlap functions and interval grouping functions. Fuzzy Sets Syst 323:19–55MathSciNetMATHCrossRef
Qiao J, Hu BQ (2018a) On the migrativity of uninorms and nullnorms over overlap and grouping functions. Fuzzy Sets Syst 346:1–54MathSciNetMATHCrossRef
Qiao J, Hu BQ (2018b) On the distributive laws of fuzzy implication functions over additively generated overlap and grouping functions. IEEE Trans Fuzzy Syst 26:2421–2433CrossRef
Qiao J, Hu BQ (2018c) On transformations from semi-three-way decision spaces to three-way decision spaces based on triangular norms and triangular conorms. Inf Sci 432:22–51MathSciNetMATHCrossRef
Qiao J, Hu BQ (2020) On decision evaluation functions in generalized three-way decision spaces. Inf Sci 507:733–754MathSciNetCrossRef
Savchenko A (2019) Sequential three-way decisions in multi-category image recognition with deep features based on distance factor. Inf Sci 489:18–36MathSciNetCrossRef
Shen W, Wei Z, Li Q, Zhang H, Miao D (2020) Three-way decisions based blocking reduction models in hierarchical classification. Inf Sci 523:63–76MathSciNetCrossRef
Xu J, Miao D, Zhang Y, Zhang Z (2017) A three-way decisions model with probabilistic rough sets for stream computing. Int J Approx Reason 88:1–22MathSciNetMATHCrossRef
Yao JT, Azam N (2015) Web-based medical decision support systems for three-way medical decision making with game-theoretic rough sets. IEEE Trans Fuzzy Syst 23:3–15CrossRef
Yao JT, Herbert JP (2007) Web-based support systems based on rough set analysis. In: Kryszkiewicz M, Peters JF, Rybiński H, Skowron A (eds) RSEISP 2007, LNCS (LNAI), vol 4585. Springer, Heidelberg, pp 360–370
Yao YY (2009) Three-way decision: an interpretation of rules in rough set theory. In: Wen P, Li Y, Polkowski L, Yao Y, Tsumoto H, Wang G (eds) RSKT, vol 5589. LNCS (LNAI). Springer, Heidelberg, pp 642–649
Yao Y, Wang S, Deng X (2017) Constructing shadowed sets and three-way approximations of fuzzy sets. Inf Sci 412–413:132–153MathSciNetMATHCrossRef
Yao YY, Wong SKM, Lingras P (1990) A decision-theoretic rough set model. In: Ras ZW, Zemankova M, Emrich ML (eds) Methodologies for intelligent systems. North-Holland, New York, pp 17–24
Yu H, Jiao P, Yao Y, Wang G (2016) Detecting and refining overlapping regions in complex networks with three-way decisions. Inf Sci 373:21–41MATHCrossRef
Yu H, Chen L, Yao J, Wang X (2019) A three-way clustering method based on an improved DBSCAN algorithm. Phys A 535:1222289CrossRef
Zhang S, Li S, Yang H (2020) Three-way convex systems and three-way fuzzy convex systems. Inf Sci 510:89–98MathSciNetCrossRef
Zhao XR, Hu BQ (2015) Fuzzy and interval-valued fuzzy decision-theoretic rough set approaches based on fuzzy probability measure. Inf Sci 298:534–554MathSciNetMATHCrossRef
Zhao XR, Hu BQ (2016) Fuzzy probabilistic rough sets and their corresponding three-way decisions. Knowl Based Syst 91:126–142CrossRef
Zhao XR, Yao YY (2019) Three-way fuzzy partitions defined by shadowed sets. Inf Sci 497:23–37CrossRef
Zhao XR, Hu BQ (2020) Three-way decisions with decision-theoretic rough sets in multiset-valued information tables. Inf Sci 507:684–699MathSciNetCrossRef
Metadaten
Titel
On decision evaluation functions in three-way decision spaces derived from overlap and grouping functions
verfasst von
Zihang Jia
Junsheng Qiao
Publikationsdatum
04.09.2020
Verlag
Springer Berlin Heidelberg
Erschienen in
Soft Computing / Ausgabe 20/2020
Print ISSN: 1432-7643
Elektronische ISSN: 1433-7479
DOI
https://doi.org/10.1007/s00500-020-05283-y

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