Interval-Valued Intuitionistic Fuzzy Sets book free

Book Details:

Author: Krassimir T. Atanassov
Date: 02 Oct 2019
Publisher: Springer Nature Switzerland AG
Original Languages: English
Format: Hardback::200 pages
ISBN10: 3030320898
ISBN13: 9783030320898
Publication City/Country: Cham, Switzerland
File size: 49 Mb
Filename: interval-valued-intuitionistic-fuzzy-sets.pdf
Dimension: 155x 235x 12.7mm::489g

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Interval-Valued Intuitionistic Fuzzy Sets book free. Intuitionistic Fuzzy Sets of Second Type (IVIFSST). 2010 AMS Subject Classification: 03E72.1. INTRODUCTION.The concept of intuitionistic fuzzy sets (IFS) was proposed K. T.Atanassov [2] as an extension of fuzzy sets introduced L. A. Zadeh. A generalization of the notion of Fuzzy Set so-called Interval Valued Fuzzy Set (IVFS) were proposed some researchers[4]. Atanassov introduced the The fuzzy set theory holds a degree of truth (values between 0 and 1) to vague A fuzzy subset A of a set X is a function A:X L, where L is the interval [0,1]. Intuitionistic fuzzy sets with the operations on them, fuzzy logic based on the Intuitionistic Fuzzy Sets: Spherical Representation and Distances Y. Yang, F. Chiclana Abstract Most existing distances between intuitionistic fuzzy sets are defined in linear plane rep-resentations in 2D or 3D space. Here, we define a new interpretation of intuitionistic fuzzy sets as a restricted spherical surface in 3D space. A new INTRODUCTION TO FUZZY & INTUITIONISTIC FUZZY SET THEORY. 1.1 Introduction Fuzzy logic is a superset of classic (Boolean) logic that has been extended to handle the concept of partial tmth-values between "completely true" and "completely false". As its name suggests, it is derived from fuzzy set theory and it is the logic underlying modes of reasoning which are approximate rather than exact. The Multiple criteria decision making methods have received different extensions under the uncertain environment in recent years. The aim of the current research is to extend the application of the MULTIMOORA method (Multiobjective Optimization Ratio Analysis plus Full Multiplicative Form) for group decision making in the uncertain environment. Taking into account the advantages of IVIFS is an interval-valued intuitionistic fuzzy implicative ideal of X. Theorem 3.3. Every interval-valued intuitionistic fuzzy implicative ideal of X is an interval-valued intuitionistic fuzzy ideal. Remark 3.4. The converse of the Theorem 3.3 may not be true as shown in the following example. Example 3.5.Let X be a BCK-algebra as in Example 3.2. Intuitionistic fuzzy sets generalize fuzzy sets, since the indicator functions of fuzzy sets are special cases of the membership and non-membership functions and of intuitionistic fuzzy sets, in the case when the strict equality exists:,i.e. The non-membership function fully complements the membership function to 1, not leaving room for any The ranking of interval-valued intuitionistic fuzzy sets plays a vital role in decision-making, data analysis, artificial intelligence and socioeconomic system where the interval analysis is essential. In this paper a new method for ranking interval-valued intuitionistic fuzzy sets has been introduced and compared with other methods There has been a growing interest and activity in the field of interval-valued intuitionistic fuzzy sets (IVIFSs). It is generally useful to express the A fuzzy subset A of a set X is a function A:X L, where L is the interval [0,1]. Fuzzy logic is a form of many-valued logic in which the truth values of variables for calculating intuitionistic index in design a Takagi-Sugeno intuitionistic fuzzy In this paper we develop a class of new distance measures for interval-valued intuitionistic fuzzy sets. Then we discuss some of the special cases of it taking Pushpinder Singh-A New Method on Measure of Similarity between Interval-Valued Intuitionistic Fuzzy Sets for Pattern Recognition. We introduce the concept of interval-valued intuitionistic fuzzy soft sets, which is an extension of the interval-valued fuzzy soft set. We also introduce the concepts of operations for the In this chapter, the basic definitions and properties of the interval valued intuitionistic fuzzy sets (IVIFSs) will be introduced. We will omit the majority of the proofs To overcome the limitations of the existing IVIFS, Generalized Interval Valued Intuitionistic Fuzzy Sets (GIVIFS) have been defined and it has been observed that The proposed CIVIF set includes the characteristics of both complex intuitionistic fuzzy set, as well as the interval-valued intuitionistic fuzzy sets. Some of the basic operational laws and their properties have been investigated in details. Also, we have developed some new weighted and ordered weighted averaging and geometric aggregation Correlation coefficient of interval-valued intuitionistic fuzzy sets and its application to multiple attribute group decision making problems Corresponding author Jian Wu E-mail: An ApproAch for MADM probleMs with intervAl-vAlueD intuitionistic fuzzy sets bAseD on nonlineAr functions The notion of interval valued intuitionistic fuzzy sets was introduced Atanassov and Gargov as a generalization of the notion of intuitionistic fuzzy sets and interval valued fuzzy sets. In this paper, we initiate a study on interval valued intuitionistic fuzzy sets in (Gamma )-semihypergroups. International Journal Notes on Intuitionistic Fuzzy Sets is specialized in the area of Fuzzy interval-valued multi criteria based decision making for ranking S. K. Tyagi 2010 Figure 1. Intuitionistic fuzzy set explanation of a real number. 2.3. Interval Valued Intuitionistic Fuzzy Sets An IVIFS [16] [18] is an extension of both, the IFS and IVFS. Notes on Intuitionistic Fuzzy Sets is an international scientific journal, specialized in the theory and application of intuitionistic fuzzy sets and logics as an interdisciplinary field at the cross point between mathematics and engineering sciences. Scope. Having started in 1995, Notes on Intuitionistic Fuzzy Sets is the first and one of the leading scientific journals, exclusively publishing research in this field of The interval-valued intuitionistic fuzzy logic, an extension of fuzzy logic introduced Atanassov, integrates the concepts of intuitionistic fuzzy logic and we introduce an adjustable reduction approach of interval-valued intuitionistic fuzzy soft sets (AR-IIFSS) for decision making. The novelty of Abstract. A measure of knowledge should not be viewed simply as a dual measure of entropy in the context of intuitionistic fuzzy sets as there is no natural logic between these two kinds of measures with the introduction of hesitancy, nor in the context of interval-valued intuitionistic fuzzy sets (IVIFSs), for that matter. with respect to criteria are represented interval-valued intuitionistic fuzzy sets. First, an interval-valued intuitionistic fuzzy Choquet integral operator is given. Decision making problem in interval-valued intuitionistic fuzzy environment. In Section, we introduce some interval-valued Pythagorean fuzzy geometric HFSs, which allow possible values for the membership of an element to a given set, in intuitionistic-valued hesitant fuzzy setting for information fusion in MGDM. 1 Relation on Soft Intuitionistic Fuzzy Set Definition 3. Guolin Tang: Some generalized Shapely interval-valued dual hesitant fuzzy uncertain linguistic Choquet The matrix game with interval-valued intuitionistic fuzzy numbers (IVIFNs) is Matrix games;interval-valued intuitionistic fuzzy set;Archimedean t-conorm and

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