Stability of intuitionistic fuzzy set-valued maps and solutions of integral inclusions

Abstract

<abstract><p>In this paper, new intuitionistic fuzzy fixed point results for sequence of intuitionistic fuzzy set-valued maps in the structure of $ b $-metric spaces are examined. A few nontrivial comparative examples are constructed to keep up the hypotheses and generality of our obtained results. Following the fact that most existing concepts of Ulam-Hyers type stabilities are concerned with crisp mappings, we introduce the notion of stability and well-posedness of functional inclusions involving intuitionistic fuzzy set-valued maps. It is a familiar fact that solution of every functional inclusion is a subset of an appropriate space. In this direction, intuitionistic fuzzy fixed point problem involving $ (\alpha, \beta) $-level set of an intuitionistic fuzzy set-valued map is initiated. Moreover, novel sufficient criteria for existence of solutions to an integral inclusion are investigated to indicate a possible application of the ideas presented herein.</p></abstract>

Intuitionistic Fuzzy Fixed Point Theorems in Complex-Valued b -Metric Spaces with Applications to Fractional Differential Equations

“…Keeping this in view, some FP results for MVM are refined to IFMs given by Shen et al [16]. However, research on IFMs to establish the fixed point results is relatively recent, and few work has been done for IFMs on various spaces (e.g., see [17][18][19][20][21][22]).…”

Complex Interval-Valued q-Rung Orthopair Fuzzy Hamy Mean Operators and Their Application in Decision-Making Strategy

“…sing Equations ( 9) and (10), we obtained: ≺ Ṧ 𝔨 , then 𝔨 1 ≺ 𝔨 2 ; Ṧ 𝔨 , then 𝐻 𝔨 ≺ 𝐻 𝔨 , then 𝔨 1 ≺ 𝔨 2 ; 𝐻 𝔨 𝐻 𝔨 , then 𝔨 1 𝔨 2 .…”

“…hen, by using Equations ( 9) and (10), we obtained: hen Ṧ 𝔨 ≺ Ṧ 𝔨 , then 𝔨 1 ≺ 𝔨 , stated the binomial coefficient (BC).…”

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Analysis of Maclaurin Symmetric Mean Operators for Managing Complex Interval-Valued q-Rung Orthopair Fuzzy Setting and Their Applications

“…1. Since its presence, intellectuals have founded distinct sorts of algorithms for evaluating the decision-making obstacles (Al-Qurashi et al, 2022;Naeem et al, 2019;Riaz et al, 2020;Tao et al, 2021;Wang et al, 2022). Later, the decision-maker knows that the role of fuzzy data become massive and broaden your horizons.…”