2022
DOI: 10.1080/16583655.2022.2071046
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On the convergence of sequences in ℝ+ through weighted geometric means via multiplicative calculus and application to intuitionistic fuzzy numbers

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Cited by 5 publications
(8 citation statements)
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“…We note that if we had used the strict order < L instead of ≤ L to define ⊕ limit, then the element (1, 0) would automatically be omitted throughout ⊕ calculus. See Definition 4.4. in [9].…”
Section: ⊕ Calculus For Intuitionistic Fuzzy Valuesmentioning
confidence: 99%
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“…We note that if we had used the strict order < L instead of ≤ L to define ⊕ limit, then the element (1, 0) would automatically be omitted throughout ⊕ calculus. See Definition 4.4. in [9].…”
Section: ⊕ Calculus For Intuitionistic Fuzzy Valuesmentioning
confidence: 99%
“…In [9], we defined the concepts of ⊕ convergence and ⊗ convergence for sequences of intuitionistic fuzzy values(IFV) and illustrated their advantage over the literature by an example. To be more precise, while the convergence types in the literature are either inapplicable to many sequences of IFVs or they assign multiple limits to a sequence, ⊕ convergence and ⊗ convergence are applicable to almost every sequence of IFVs and reveal a unique limit provided that the limit exists.…”
Section: Introductionmentioning
confidence: 99%
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“…In [20], we defined the concepts of ⊕ convergence and ⊗ convergence for sequences of intuitionistic fuzzy values(IFV) and illustrated their advantage over the literature by an example [20,Example 4.3]. To be more precise, while the convergence types in the literature are either inapplicable to many sequences of IFVs or they assign multiple limits to a sequence, ⊕ convergence and ⊗ convergence are applicable to almost every sequence of IFVs and reveal a unique limit provided that the limit exists.…”
Section: Introductionmentioning
confidence: 99%
“…Note that operations ⊕, ⊗, , of IFVs implement multiplication and division on membership and nonmembership degrees of IFVs. Besides, many other operations on IFVs such as integrals [18,19], intuitionistic fuzzy aggregation operators [16,17], convergence methods [9], infinite series and products [8] include again multiplication and division of membership-nonmemberships. On the other hand, multiplication and division operations are also crucial in multiplicative calculus and the tools of multiplicative calculus are useful to represent and to handle some intuitionistic fuzzy concepts.…”
mentioning
confidence: 99%