Abstract
This paper aims to analyze the decision-making processes in which the interactions between objects belonging to two different universe sets are desired to be determined. In this direction, first of all, the concepts of object interaction and inverse object interaction sets for two different universe sets are defined. In addition, considering binary soft sets in which two different universe sets are taken into account, the concepts of object interaction and inverse object interaction sets have been developed for a binary soft set. In this way, it was possible to determine the interaction values between objects with the help of a parameter set. Moreover, two decision-making algorithms are proposed using the concepts of object interaction and inverse object interaction sets based on a binary soft set. A discussion is presented by demonstrating the importance and advantages of these algorithms through an application.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
Explore related subjects
Discover the latest articles, news and stories from top researchers in related subjects.Data availibility
The datasets generated and/or analyzed during the current study are available from the corresponding author upon reasonable request.
References
Açıkgöz A, Taş N (2016) Binary soft set theory. Eur J Pure Appl Math 9(4):452–463
Ali G, Ansari MN (2022) Multiattribute decision-making under Fermatean fuzzy bipolar soft framework. Granul Comput 7(2):337–352
Benchalli SS, Patil PG, Dodamani AS, Pradeepkumar J (2017) On binary soft topological spaces. Int J Appl Math 30(6):437–453
Benchalli SS, Patil PG, Dodamani AS, Pradeepkumar J (2017) On binary soft separation axioms in binary soft topological spaces. Global J Appl Math 13(9):5393–5412
Dalkılıç O (2021) Determining the (non-)membership degrees in the range (0,1) independently of the decision-makers for bipolar soft sets. J Taibah Univ Sc 15(1):609–618
Dalkılıç O (2021) Relations on neutrosophic soft set and their application in decision making. J Appl Math Comput 67:257–273
Dalkılıç O (2022) Approaches that take into account interactions between parameters: pure (fuzzy) soft sets. Int J Comput Math 99(7):1428–1437
Dalkılıç O (2022) On topological structures of virtual fuzzy parametrized fuzzy soft sets. Complex Intell Syst 8:337–348
Demirtaş N, Dalkılıç O, Riaz M (2022) A mathematical model to the inadequacy of bipolar soft sets in uncertainty environment: N-polar soft set. Comput Appl Math 41(1):1–19
Hussain S (2019) Binary soft connected spaces and an application of binary soft sets in decision making problem. Fuzzy Inform Eng 11(4):506–521
Hussain S (2019) On some structures of binary soft topological spaces. Hacettepe J Math Stat 48(3):644–656
Hussain S, Alkhalifah M (2020) An application of binary soft mappings to the problem in medical expert systems. J Appl Math Inform 38(5–6):533–545
Jothi G, Azar AT, Fouad KM, Sabbeh SF (2022) Modified dominance-based soft set approach for feature selection. Int J Sociotechnol Knowl Dev 14(1):1–20
Khattak AM, Ul-Haq Z, Barki Z, Ilyas M (2018) Application of soft P-open set to binary soft structures. Acta Scient Malaysia 2(2):23–26
Liu B, He S, He D, Zhang Y, Guizani M (2019) A spark-based parallel fuzzy \(c\)-means segmentation algorithm for agricultural image big data. IEEE access 7:42169–42180
Liu JB, Ali S, Mahmood MK, Mateen MH (2022) On m-polar diophantine fuzzy N-soft set with applications. Combin Chem High Through Screen 25(3):536–546
Metilda PG, Subhashini DJ (2020) Remarks on fuzzy binary soft set and its characters. In: proceedings of International conference on Materials and Mathematical Sciences
Metilda G, Subhashini J (2021) Some results on fuzzy binary soft point. Space 1:589–592
Molodtsov D (1999) Soft set theory-first results. Comput Math Appl 37:19–31
Patil PG, Bhat NN (2020) New separation axioms in binary soft topological spaces. Itali J Pure Appl Math 44:775–783
Pawlak Z (1982) Rough sets. Int J Comput Inform Sci 11(5):341–356
Remya PB, Shalini AF (2018) Vague binary soft sets and their properties. Int J Eng Sci Math 7(11):56–73
Zadeh LA (1965) Fuzzy sets. Inform. Control 8:338–353
Zhang Y, Guizani M (eds)(2011) Game theory for wireless communications and networking. CRC press
Zhang Y, Wang C (2022) Generalized complex vague soft set and its applications. Soft Comput 26(12):5465–5479
Zhang Y, Chen J, Wang Q, Tan C, Li Y, Sun X, Li Y (2022) Geographic information system models with fuzzy logic for susceptibility maps of debris flow using multiple types of parameters: a case study in Pinggu District of Beijing. China. Natl Haz Earth Syst Sci 22(7):2239–2255
Funding
The authors have not disclosed any funding.
Author information
Authors and Affiliations
Contributions
Orhan Dalkiliç (conceptualization/writing-original draft, investigation, methodology, data curation, supervision, writing-original draft, writing-review-editing), Ismail Naci Cangul (methodology, supervision, final check).
Corresponding author
Ethics declarations
Conflict of interest
The author declares that they have no conflict of interest.
Ethical and informed consent for data used
This article does not contain any studies with human participants or animals performed by any of the authors.
Additional information
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
About this article
Cite this article
Dalkılıç, O., Cangul, I.N. Determining interactions between objects from different universes: (inverse) object interaction set for binary soft sets. Soft Comput 28, 12869–12877 (2024). https://doi.org/10.1007/s00500-024-10318-9
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00500-024-10318-9