Abstract
This paper introduces the concept of LM-G-filter spaces as a generalization of LM-filters and studies the notions of sum, subspace, product and quotient of these spaces. The application potential of this generalization in connection with various decision making situations is brought out. Moreover, certain known theorems on stratified L-filters are disproved and efforts to correct them resulted in the introduction of stratified LM-G-filters. It is proved that the category of stratified LM-G-filters is an isomorphism closed bicoreflective full subcategory of the category of LM-G-filters. Finally, some relation between the categories of LM-filters and LM-G-filters are also obtained.
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Acknowledgements
The authors are thankful to the reviewers and the associate editor for their constructive comments and valuable suggestions which improved the presentation of this paper.
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The first author wishes to thank CSIR, India for giving financial assistance under the Senior Research Fellowship awarded by order No. 08/528(0004)/2019-EMR-1 dated 08/04/2021.
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Jose, M., Mathew, S.C. Generalization of LM-filters: sum, subspace, product, quotient and stratification. Soft Comput 27, 809–819 (2023). https://doi.org/10.1007/s00500-022-07610-x
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DOI: https://doi.org/10.1007/s00500-022-07610-x