Interval valued intuitionistic vague soft multi-set theoretical approach to decision-making problems essay
There has been noticeable progress in decision-making problems since the introduction of soft set theory by Molodtsov. It turns out that classic soft sets are not suitable for dealing with. Multi-attribute decision-making MADM with attribute values as interval - valued intuitionistic fuzzy numbers IVIFNs is essentially a second-order decision-making problem with uncertainty. To this end, the partial connection number PCN of set-pair analysis is applied to MADM with IVIFNs. The PCN is an adjacent function of the. This paper aims to develop a novel hybrid multi-attribute group decision approach under interval-valued intuitionistic fuzzy sets IVIFS by integrating variable weight, correlation coefficient and order performance technique through similarity with an ideal solution TOPSIS. TOPSIS is one of the well-known methods for multi-attribute MADM decisions. In this paper, we extend the TOPSIS method to solve MAGDM problems with multiple attribute groups in an interval -valued intuitionistic fuzzy environment where all the preference information provided by the decision makers is. A new strategy for solving multi-attribute decision making The problem is presented using different entropies and unknown attribute weights, where preferences related to the attributes are in the form of interval-valued intuitionistic fuzzy sets. Some general properties have also been proven in justification. To illustrate, in general, most real-life decision-making problems involve inaccurate parameters. In the recent past, the focus of researchers in this area has been on developing reliable models to effectively deal with such imprecision and vagueness. Various theories have been developed, such as the fuzzy set theory, interval-valued fuzzy. The aim of this study is to develop an approach for interval-valued intuitionistic fuzzy multi-criteria group decision making with incomplete weight information and interactive conditions. Based on the given cross-entropy of interval-valued intuitionistic fuzzy sets and the Shapley function with respect-additive measures, this paper investigates an approach for multi-criterion decision making MCDM problems with interval-valued intuitionistic fuzzy preference relations IVIFPRs. Based on the new interval scoring function, some comprehensive concepts related to IVIFPRs have been defined, including the scoring matrix, the estimated optimal transfer, multi-attribute decision making MADM with attribute values as interval - valued intuitionistic fuzzy numbers. IVIFNs are essentially a second-order decision-making problem with uncertainty. To this end, the partial connection number PCN of set-pair analysis is applied to MADM with IVIFNs. The PCN is an adjacent function of the Abstract. The concept of intuitionistic fuzzy soft set IFSS that arises from intuitionistic fuzzy set IFS is generalized by including a parameter that represents a moderator's opinion on the validity of the information provided. The resulting generalized intuitionistic fuzzy soft set GIFSS finds a special role in decision making, Request PDF, Commentary on "A fuzzy soft set theoretical approach to decision-making problems", The algorithm for the identification of an object in an earlier paper by AR Roy et al. AR Roy, PK Interval - valued intuitionistic fuzzy numbers IVIFNsare better at modeling real-life problems more naturally, and can be applicable in many areas such as pattern recognition, decision making, cluster analysis, medical diagnosis, image processing, etc. In particular, similarity measures defined based on the class of IVIFNs play a significant , a weighted interval-valued intuitionistic fuzzy soft set is a triple F, A, ω where F, A is an intuitionistic interval-valued fuzzy soft set over U, and ω: A → 0, 1 is a weight function. Improving decision making under risk is critical in several areas, and 3WD methods with triple decision making have been widely used and proven effective in numerous scenarios. However, traditional methods may not be sufficient in addressing complex decision-making scenarios characterized by uncertainty and ambiguity. Compared to fuzzy sets, IVFSs are very useful for expressing vagueness and uncertainty more accurately. As a result, in this research we provide an advanced approach with interval - valued fuzzy parameterized multi-fuzzy N-soft set of dimension q in short, d N,q - set, by introducing the induced interval - valued fuzzy, which concerns the interval - valued intuitionistic, fuzzy multi-criteria decision making - problem building where the weights of the criteria are fixed, and the criterion value of alternatives is in the form of an interval. This paper aims to develop a novel hybrid multi-attribute group decision approach under interval-valued intuitionistic fuzzy sets IVIFS by integrating variable weight, correlation coefficient and order performance technique through similarity with an ideal solution TOPSIS. This article aims to develop a new hybrid. From various generalizations of fuzzy set theory for different objectives, the concepts introduced by Atanassov, 1983, Atanassov and Gargov, who define intuitionistic fuzzy sets and interval-valued intuitionistic fuzzy sets, are interesting and very useful in modeling real-life problems. Ranking of interval-valued intuitionistic ones. As a result, in this research work we provide an approach for solving group decision-making problems. Current work proposes novel fuzzy information-based TODIM approaches that can handle the evaluations in a complex interval-valued, intuitionistic, fuzzy CIVIF environment. The proposed approaches are called complex interval-valued intuitionistic fuzzy-TODIM CIVIF-TODIM approaches. A new strategy for solving multi-attribute decision-making problems is presented using different entropies and unknown attribute weights, where preferences regarding the attributes are in the form of interval-valued intuitionistic fuzzy sets. Some general properties have also been proven in justification. Illustratively, existing product design selection models often required decision makers to provide discrete linguistic terms 2 3 4 5, 6 or sharp values 7.8 for subjective evaluation, which are not in agreement. In this article, we introduce some set-theoretic operations and laws of the IV-CFSSs, such as interval-valued complex fuzzy soft complement, union, intersection, t-norm, s-norm, simple product, Cartesian product, probabilistic sum, simple difference, and the convex linear sum of min and max operators. We define the distance measure of two. As a powerful extension of the fuzzy set, the hesitant fuzzy set HFS has attracted many scientists in recent times. The HFS had the ability for a specific,