Skip to main content
Springer Nature Link
Log in

Three-way decision with conflict analysis approach in the framework of fuzzy set theory

  • Fuzzy systems and their mathematics
  • Published:
Soft Computing Aims and scope Submit manuscript

Abstract

This paper aims to develop a novel conflict resolution model using decision-theoretic fuzzy rough set to handle more complex real scenarios by allowing decision-makers to express their opinions more freely on a scale from −1 to 1. Further, many algorithms are developed to handle change in information systems, and detailed experimental analysis is done to validate the proposed model’s efficiency and practicality.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Subscribe and save

Springer+ Basic
$34.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2
Fig. 3
Fig. 4

Similar content being viewed by others

Explore related subjects

Discover the latest articles, news and stories from top researchers in related subjects.

References

  • Agarwal RP, Baleanu D, Nieto JJ, Torres DFM, Zhou Y (2018) A survey on fuzzy fractional differential and optimal control nonlocal evolution equations. J Comput Appl Math 339:3–29

    Article  MathSciNet  MATH  Google Scholar 

  • Alkaim AF, Janabi SA (2019) Multi objectives optimization to gas flaring reduction from oil production. Big Data Netw Technol 81:117–139. https://doi.org/10.1007/978-3-030-23672-4-10

    Article  Google Scholar 

  • Bashir Z, Mahnaz S, Malik MGA (2021) Conflict resolution using game theory and rough sets. Int J Intel Syst 36:237–259

    Article  Google Scholar 

  • Chen H, Li T, Ruan D, Lin J, Hu C (2011) A rough-set based incremental approach for updating approximations under dynamic maintenance environments. IEEE Trans Knowl Data Eng 25(2):174–184

    Google Scholar 

  • Chen D, Yang Y, Dong Z (2016) An incremental algorithm for attribute reduction with variable precision rough sets. Appl Soft Comput 45:129–149

    Article  Google Scholar 

  • De Silva LGO, De Almeida-Filho ATL (2016) A multicriteria approach for analysis of conflicts in evidence theory. Inf Sci 346:275–285

    Article  MATH  Google Scholar 

  • Deja Z (2002) Conflict analysis. Int J Intel Syst 17:235–253

    Article  MATH  Google Scholar 

  • Feng T, Mi JS (2016) Variable precision multigranulation decision-theoretic fuzzy rough sets. Knowledge-Based Syst 91:93–101

    Article  Google Scholar 

  • Hu BQ (2014) Three-way decisions space and three-way decisions. Inf Sci 281:21–52

    Article  MathSciNet  MATH  Google Scholar 

  • Hu J, Pedrycz W, Wang G, Wang K (2016) Rough sets in distributed decision information systems. Knowledge-Based Syst 94:13–22

    Article  Google Scholar 

  • Janabi SA, Alkaim AF, (2021) A comparative analysis of DNA protein synthesis for solving optimization problems: a novel nature-inspired algorithm. In: A. Abraham, H. Sasaki, R. Rios, N. Gandhi, U. Singh, K. Ma (Eds.), Innovations in Bio-Inspired Computing and Applications. IBICA, (2020) Advances in intelligent systems and computing, 1372. Springer, Cham

  • Janabi SA, Alkaim AF (2020) A nifty collaborative analysis to predicting a novel tool (DRFLLS) for missing values estimation. Soft Comput 24(1):555–569. https://doi.org/10.1007/s00500-019-03972-x

    Article  Google Scholar 

  • Janabi SA, Rawat S, Patel A, Shourbaji IA (2015) Design and evaluation of a hybrid system for detection and prediction of faults in electrical transformers. Int J Electr Power Energy Syst 67:324–335. https://doi.org/10.1016/j.ijepes.2014.12.005

    Article  Google Scholar 

  • Janabi SA, Alkaim AF, Adel Z (2020) An Innovative synthesis of deep learning techniques (DCapsNet & DCOM) for generation electrical renewable energy from wind energy. Soft Comput 24:10943–10962. https://doi.org/10.1007/s00500-020-04905-9

    Article  Google Scholar 

  • Janabi SA, Mohammad M, Al-Sultan A (2020) A new method for prediction of air pollution based on intelligent computation. Soft Comput 24(1):661–680. https://doi.org/10.1007/s00500-019-04495-1

    Article  Google Scholar 

  • Janabi SA, Alkaim A, Janabi EA, Aljeboree A, Mustafa M (2021) Intelligent forecaster of concentrations (PM2.5, PM10, NO2, CO, O3, SO2) caused air pollution (IFCsAP). Neural Comput Appl. https://doi.org/10.1007/s00521-021-06067-7

    Article  Google Scholar 

  • Jianpinga Y, Hong-Zhonga H, Qianga M, Rui S (2011) A novel information fusion method based on dempster-shafer evidence theory for conflict resolution. Intel Data Anal 15:399–411

    Article  Google Scholar 

  • Kadhum G, Janabi SA (2021) Design Guide Prediction Model for the Legal Interactions (GPM-LI), in: A. Abraham, T. Hanne, O. Castillo, N. Gandhi, Rios T. Nogueira, T. P. Hong (Eds.), Hybrid Intelligent Systems. HIS 2020. Advances in Intelligent Systems and Computing, 1375, Springer, Cham https://doi.org/10.1007/978-3-030-73050-5-4

  • Lang G, Li Q, Cai M, Yang T (2015) Characteristic matrixes-based knowledge reduction in dynamic covering decision information systems. Knowledge-Based Syst 85:1–26

    Article  Google Scholar 

  • Lang G, Miao D, Yang T, Cai M (2016) Knowledge reduction of dynamic covering decision information systems when varying covering cardinalities. Inf Sci 346–347:236–260

    Article  MATH  Google Scholar 

  • Lang G, Miao D, Cai M (2017) Three-way decision approaches to conflict analysis using decision-theoretic rough set theory. Inf Sci 406–407:185–207

    Article  MATH  Google Scholar 

  • Lang G, Luo J, Yao Y (2020) Three-way conflict analysis: a unification of models based on rough sets and formal concept analysis. Knowledge-Based Syst 194:105556

    Article  Google Scholar 

  • Lang G, Miao D, Fujita H (2020) Three-way group conflict analysis based on pythagorean fuzzy set theory. IEEE Trans Fuzzy Syst 28(3):447–461

    Article  Google Scholar 

  • Li H, Zhou X (2011) Risk decision making based on decision-theoretic rough set: a three-way view decision model. Int J Comput Intel Syst 4:1–11

    Google Scholar 

  • Li J, Huang C, Qi J, Qian Y, Liu W (2017) Three-way concept learning via multi-granularity. Inf Sci 378:244–263

    Article  MATH  Google Scholar 

  • Li X, Wang X, Lang G, Yi H (2021) Conflict analysis based on three-way decision for triangular fuzzy information systems. Int J Approx Reason 132:88–106

    Article  MathSciNet  MATH  Google Scholar 

  • Liang D, Liu D, Pedrycz W, Hu P (2013) Triangular fuzzy decision-theoretic rough sets. Int J Approx Reason 54:1087–1106

    Article  MATH  Google Scholar 

  • Liang J, Wang F, Dang C, Qian Y (2014) A group incremental approach to feature selection applying rough set technique. IEEE Trans Knowl Data Eng 26(2):294–308

    Article  Google Scholar 

  • Liang D, Pedrycz W, Liu D, Hu P (2015) Three-way decisions based on decision-theoretic rough sets under linguistic assessment with the aid of group decision making. Appl Soft Comput 29:256–269

    Article  Google Scholar 

  • Liu Y, Lin Y (2015) Intuitionistic fuzzy rough set model based on conflict distance and applications. Appl Soft Comput 31:266–273

    Article  Google Scholar 

  • Liu D, Liang D, Wang C (2016) A novel three-way decision model based on incomplete information system. Knowledge-Based Syst 91:32–45

    Article  Google Scholar 

  • Luo C, Li T, Chen H, Lu L (2015) Fast algorithms for computing rough approximations in set-valued decision systems while updating criteria values. Inf Sci 299:221–242

    Article  MathSciNet  MATH  Google Scholar 

  • Pawlak Z (1984) On conflicts. Int J Man-Machine Stud 21(2):127–134

    Article  MATH  Google Scholar 

  • Pawlak Z (1998) An inquiry into anatomy of conflicts. Inf Sci 109:65–68

    Article  MathSciNet  Google Scholar 

  • Pawlak Z (2005) Some remarks on conflict analysis. Eur J Op Res 166(3):649–654

    Article  MATH  Google Scholar 

  • Qian Y, Zhang H, Sang Y, Liang J (2014) Multigranulation decision-theoretic rough sets. Int J Approx Reason 55(1):225–237

  • Radzikowskaa AM, Kerre EE (2002) A comparative study of Fuzzy rough sets. Fuzzy Sets Syst 126:137–155

    Article  MathSciNet  Google Scholar 

  • Raza MS, Qamar U (2016) An incremental dependency calculation technique for feature selection using rough sets. Inf Sci 343:41–65

    Article  MathSciNet  Google Scholar 

  • Shu W, Shen H (2014) Incremental feature selection based on rough set in dynamic incomplete data. Pattern Recognit 47(12):3890–3906

    Article  Google Scholar 

  • Sun B, Ma W, Zhao H (2016) Rough set-based conflict analysis model and method over two universes. Inf Sci 372:111–125

    Article  MATH  Google Scholar 

  • Sun B, Chen X, Zhang L, Ma W (2020) Three-way decision making approach to conflict analysis and resolution using probabilistic rough set over two universes. Inf Sci 507:809–822

    Article  MathSciNet  MATH  Google Scholar 

  • Sutoyo E, Mungad M, Hamid S, Herawan T (2016) An efficient soft set-based approach for conflict analysis. Plos One 11(2):e0148837

    Article  Google Scholar 

  • Varmaghani A, Nazar AM, Ahmadi M, Sharifi A, Ghoushchi SJ, Pourasad Y (2021) DMTC: Optimize energy consumption in dynamic wireless sensor network based on fog computing and fuzzy multiple attribute decision-making. Wirel Commun Mob Comput. https://doi.org/10.1155/2021/9953416

    Article  Google Scholar 

  • Yang X, Yao JT (2012) Modelling multi-agent three-way decisions with decision-theoretic rough sets. Fundam Inform 115:157–171

    Article  MathSciNet  MATH  Google Scholar 

  • Yang X, Qi Y, Yu H, Song X, Yang J (2014) Updating multigranulation rough approximations with increasing of granular structures. Knowledge-Based Syst 64:59–69

    Article  Google Scholar 

  • Yao Y (2010) Three-way decisions with probabilistic rough sets. Inf Sci 180(3):341–353

    Article  MathSciNet  Google Scholar 

  • Yao Y (2011) The superiority of three-way decisions in probabilistic rough set models. Inf Sci 181(6):1080–1096

    Article  MathSciNet  MATH  Google Scholar 

  • Yu C, Yang J, Yang D, Ma X, Min H (2015) An improved conflicting evidence combination approach based on a new supporting probability distance. Expert Syst Appl 42(12):5139–5149

    Article  Google Scholar 

  • Zhang J, Li T, Ruan D, Liu D (2012) Neighborhood rough sets for dynamic data mining. Int J Intel Syst 27(4):317–342

    Article  Google Scholar 

  • Zhi H, Qi J, Qian T, Ren R (2020) Conflict analysis under one-vote veto based on approximate three-way concept lattice. Inf Sci 516:316–330

    Article  MathSciNet  Google Scholar 

Download references

Acknowledgements

The authors are grateful to the editor and anonymous reviewers for their valuable suggestions which helped us to improve this manuscript greatly.

Author information

Authors and Affiliations

  1. Department of Mathematics, Quaid-i-Azam University, Islamabad, Pakistan

    Zia Bashir & Abdul Wahab

  2. Department of Mathematics, University of Management and Technology, Lahore, 54770, Pakistan

    Tabasam Rashid

Authors
  1. Zia Bashir
    View author publications

    You can also search for this author inPubMed Google Scholar

  2. Abdul Wahab
    View author publications

    You can also search for this author inPubMed Google Scholar

  3. Tabasam Rashid
    View author publications

    You can also search for this author inPubMed Google Scholar

Ethics declarations

Conflict of interest

All authors have no conflict of interest.

Ethical approval

This article does not contain any studies with animals performed by any of the authors.

Informed consent

Informed consent was obtained from all individual participants included in the study.

Additional information

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Bashir, Z., Wahab, A. & Rashid, T. Three-way decision with conflict analysis approach in the framework of fuzzy set theory. Soft Comput 26, 309–326 (2022). https://doi.org/10.1007/s00500-021-06509-3

Download citation

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00500-021-06509-3

Keywords