IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v9y2021i17p2136-d627768.html
   My bibliography  Save this article

Pythagorean Membership Grade Aggregation Operators: Application in Financial knowledge

Author

Listed:
  • Fabio Blanco-Mesa

    (Facultad de Ciencias Econόmicas y Administrativas, Escuela de Administraciόn de Empresas, Universidad Pedagόgica y Tecnolόgica de Colombia, Av. Central del Norte, 39-115, Tunja 150001, Colombia)

  • Ernesto León-Castro

    (Facultad de Ciencias Administrativas y Sociales, Universidad Autonoma de Baja California, Boulevard Zertuche y Boulevard de los Lagos S/N Fracc, Valle Dorado, Ensenada 22890, Baja California, Mexico
    Facultad de Ciencias Econόmicas y Administrativas, Escuela de Administraciόn de Empresas, Universidad Católica de la Santísima Concepción, Alonso de Ribera 2850, Concepción, Chile)

  • Jorge Romero-Muñoz

    (Facultad de Ciencias Econόmicas y Administrativas, Escuela de Administraciόn de Empresas, Universidad Pedagόgica y Tecnolόgica de Colombia, Av. Central del Norte, 39-115, Tunja 150001, Colombia)

Abstract

This paper presents the Pythagorean membership grade induced ordered weighted moving average (PMGIOWMA) operator with some particular cases and theorems. The main advantage of this new operator is that can include the knowledge, expectation, and aptitude of the decision maker into the Pythagorean membership function by using a weighting vector and induced variables. An application in financial knowledge based on a survey conducted in 13 provinces in Boyacá, Colombia, is presented.

Suggested Citation

  • Fabio Blanco-Mesa & Ernesto León-Castro & Jorge Romero-Muñoz, 2021. "Pythagorean Membership Grade Aggregation Operators: Application in Financial knowledge," Mathematics, MDPI, vol. 9(17), pages 1-15, September.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:17:p:2136-:d:627768
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/9/17/2136/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/9/17/2136/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Carroll, Christopher D., 2009. "Precautionary saving and the marginal propensity to consume out of permanent income," Journal of Monetary Economics, Elsevier, vol. 56(6), pages 780-790, September.
    2. Andrés Murcia Pabón, 2007. "Determinantes del acceso al crédito de los hogares colombianos," Revista ESPE - Ensayos sobre Política Económica, Banco de la Republica de Colombia, vol. 25(55), pages 40-83, December.
    3. Dean Karlan & Aishwarya Lakshmi Ratan & Jonathan Zinman, 2014. "Savings by and for the Poor: A Research Review and Agenda," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 60(1), pages 36-78, March.
    4. Dejian Yu, 2015. "A scientometrics review on aggregation operator research," Scientometrics, Springer;Akadémiai Kiadó, vol. 105(1), pages 115-133, October.
    5. Dean Karlan & Aishwarya Lakshmi Ratan & Jonathan Zinman, 2014. "Savings by and for the Poor: A Research Review and Agenda," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 60(1), pages 36-78, March.
    6. Meiling Liu & Shouzhen Zeng & Tomas Baležentis & Dalia Streimikiene, 2019. "Picture Fuzzy Weighted Distance Measures and their Application to Investment Selection," The AMFITEATRU ECONOMIC journal, Academy of Economic Studies - Bucharest, Romania, vol. 21(52), pages 682-682, August.
    7. Liu, Liang-Yn & Woo, Wing Thye, 1994. "Saving Behaviour under Imperfect Financial Markets and the Current Account Consequences," Economic Journal, Royal Economic Society, vol. 104(424), pages 512-527, May.
    8. Baltensperger, Ernst, 1976. "The Borrower-Lender Relationship, Competitive Equilibrium, and the Theory of Hedonic Prices," American Economic Review, American Economic Association, vol. 66(3), pages 401-405, June.
    9. Chiclana, F. & Herrera-Viedma, E. & Herrera, F. & Alonso, S., 2007. "Some induced ordered weighted averaging operators and their use for solving group decision-making problems based on fuzzy preference relations," European Journal of Operational Research, Elsevier, vol. 182(1), pages 383-399, October.
    10. Shouzhen Zeng & Jianping Chen & Xingsen Li, 2016. "A Hybrid Method for Pythagorean Fuzzy Multiple-Criteria Decision Making," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 15(02), pages 403-422, March.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Victor G. Alfaro-Garcia & Fabio Blanco-Mesa & Ernesto León-Castro & Jose M. Merigo, 2022. "Bonferroni Weighted Logarithmic Averaging Distance Operator Applied to Investment Selection Decision Making," Mathematics, MDPI, vol. 10(12), pages 1-13, June.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Steinert, Janina I. & Zenker, Juliane & Filipiak, Ute & Movsisyan, Ani & Cluver, Lucie D. & Shenderovich, Yulia, 2018. "Do saving promotion interventions increase household savings, consumption, and investments in Sub-Saharan Africa? A systematic review and meta-analysis," World Development, Elsevier, vol. 104(C), pages 238-256.
    2. Ana María Iregui-Bohórquez & Ligia Alba Melo-Becerra & María Teresa Ramírez-Giraldo & Ana María Tribín-Uribe, 2018. "Crédito formal e informal de los hogares en Colombia," Investigación Conjunta-Joint Research, in: María José Roa García & Diana Mejía (ed.), Decisiones financieras de los hogares e inclusión financiera: evidencia para América Latina y el Caribe, edition 1, volume 1, chapter 5, pages 133-166, Centro de Estudios Monetarios Latinoamericanos, CEMLA.
    3. Daisy Johana Pacheco & Ana María Yaruro, 2018. "Factors Affecting Ownership of Financial Products in Colombia," Investigación Conjunta-Joint Research, in: María José Roa García & Diana Mejía (ed.), Financial Decisions of Households and Financial Inclusion: Evidence for Latin America and the Caribbean, edition 1, volume 1, chapter 6, pages 157-192, Centro de Estudios Monetarios Latinoamericanos, CEMLA.
    4. Ana María Iregui-Bohórquez & Ligia Alba Melo-Becerra & María Teresa Ramírez-Giraldo & Ana María Tribín-Uribe, 2018. "Formal and Informal Household Credit in Colombia," Investigación Conjunta-Joint Research, in: María José Roa García & Diana Mejía (ed.), Financial Decisions of Households and Financial Inclusion: Evidence for Latin America and the Caribbean, edition 1, volume 1, chapter 5, pages 125-156, Centro de Estudios Monetarios Latinoamericanos, CEMLA.
    5. Geng, Xin & Janssens, Wendy & Kramer, Berber, 2018. "Liquid milk: Cash Constraints and Recurring Savings among Dairy Farmers in Kenya," 2018 Annual Meeting, August 5-7, Washington, D.C. 273823, Agricultural and Applied Economics Association.
    6. Prina, Silvia, 2015. "Banking the poor via savings accounts: Evidence from a field experiment," Journal of Development Economics, Elsevier, vol. 115(C), pages 16-31.
    7. Renata Baborska & Emilio Hernandez & Emiliano Magrini & Cristian Morales-Opazo, 2020. "The impact of financial inclusion on rural food security experience: A perspective from low-and middle-income countries," Review of Development Finance Journal, Chartered Institute of Development Finance, vol. 10(2), pages 1-18.
    8. Di Giannatale, Sonia & Roa, María José, 2016. "Formal Saving in Developing Economies: Barriers, Interventions, and Effects," IDB Publications (Working Papers) 8107, Inter-American Development Bank.
    9. Knar Khachatryan & Vardan Baghdasaryan & Valentina Hartarska, 2018. "Is the model loans-plus-savings better for microfinance in ECA? A PSM comparison," Working Paper c5a69366-4231-479c-879d-c, European Microfinance Network.
    10. Grohmann, Antonia & Klühs, Theres & Menkhoff, Lukas, 2018. "Does financial literacy improve financial inclusion? Cross country evidence," World Development, Elsevier, vol. 111(C), pages 84-96.
    11. Leandro De Magalhães & Dongya Koh & Raül Santaeulàlia-Llopis, 2016. "Consumption and Expenditure in Sub-Saharan Africa," Bristol Economics Discussion Papers 16/677, School of Economics, University of Bristol, UK, revised 07 Oct 2016.
    12. María José Roa García & Diana Mejía (ed.), 2018. "Decisiones financieras de los hogares e inclusión financiera: evidencia para América Latina y el Caribe," Investigación Conjunta-Joint Research, Centro de Estudios Monetarios Latinoamericanos, CEMLA, edition 1, volume 1, number 7sp, December.
    13. Mirpourian, Mehrdad, 2020. "A Gendered Look at Savings Behavior among Nigerian Microsavers," MPRA Paper 103062, University Library of Munich, Germany.
    14. Nadine Muller & Shannon A McMahon & Jan-Walter De Neve & Alexej Funke & Till Bärnighausen & Elsa N Rajemison & Etienne Lacroze & Julius V Emmrich & Samuel Knauss, 2020. "Facilitators and barriers to the implementation of a Mobile Health Wallet for pregnancy-related health care: A qualitative study of stakeholders’ perceptions in Madagascar," PLOS ONE, Public Library of Science, vol. 15(1), pages 1-15, January.
    15. Leandro DE MAGALHÃES & Dongya KOH & Räul SANTAEULILA-LLOPIS, 2019. "The Cost of Consumption Smoothing: Less Schooling and less Nutrition," JODE - Journal of Demographic Economics, Cambridge University Press, vol. 85(3), pages 181-208, September.
    16. Brune, Lasse & Kerwin, Jason T., 2019. "Income timing and liquidity constraints: Evidence from a randomized field experiment," Journal of Development Economics, Elsevier, vol. 138(C), pages 294-308.
    17. Joshua Blumenstock & Michael Callen & Tarek Ghani, 2018. "Why Do Defaults Affect Behavior? Experimental Evidence from Afghanistan," American Economic Review, American Economic Association, vol. 108(10), pages 2868-2901, October.
    18. Augustine Kwadwo Yeboah, 2019. "Drivers of Savings Account Ownership Status: A Cross-Sectional Analysis from Ghana," Journal of Social and Development Sciences, AMH International, vol. 10(1), pages 51-60.
    19. Mirpourian, Mehrdad, 2020. "A Gendered Look at Savings Behavior among Nigerian Microsavers," MPRA Paper 103221, University Library of Munich, Germany.
    20. Annan, Jeannie & Donald, Aletheia & Goldstein, Markus & Gonzalez Martinez, Paula & Koolwal, Gayatri, 2021. "Taking power: Women’s empowerment and household Well-being in Sub-Saharan Africa," World Development, Elsevier, vol. 140(C).

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:gam:jmathe:v:9:y:2021:i:17:p:2136-:d:627768. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.