Information Measures Based on T-Spherical Fuzzy Sets and Their Applications in Decision Making and Pattern Recognition

نویسندگان

چکیده

The T-spherical fuzzy set (TSFS) is a modification of the (FS), intuitionistic (IFS), Pythagorean (PyFS), q-rung orthopair (q-ROFS), and picture (PFS), with three characteristic functions: membership degree (MD) denoted by S, nonmembership (NMD) D, abstinence (AD) I. It can be used to solve problems uncertain information no restrictions. distance measure (DM) tool that sums up difference between points, while similarity (SM) method applied calculate objects within an interval [0,1]. current work aims introduce novel DMs SMs in environment TSFSs show limitations previously defined SMs. suggested provide more room for all degrees selected without restriction. We investigated effectiveness proposed applying pattern-recognition technique, we determined their applicability multicriteria decision making (MCDM) using numerical examples. newly are briefly compared existing SMs, appropriate conclusions drawn.

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Group Generalized Interval-valued Intuitionistic Fuzzy Soft Sets and Their Applications in\ Decision Making

Interval-valued intuitionistic fuzzy sets (IVIFSs) are widely used to handle uncertainty and imprecision in decision making. However, in more complicated environment, it is difficult to express the uncertain information by an IVIFS with considering the decision-making preference. Hence, this paper proposes a group generalized interval-valued intuitionistic fuzzy soft set (G-GIVIFSS) which conta...

متن کامل

SOME SIMILARITY MEASURES FOR PICTURE FUZZY SETS AND THEIR APPLICATIONS

In this work, we shall present some novel process to measure the similarity between picture fuzzy sets. Firstly, we adopt the concept of intuitionistic fuzzy sets, interval-valued intuitionistic fuzzy sets and picture fuzzy sets. Secondly, we develop some similarity measures between picture fuzzy sets, such as, cosine similarity measure, weighted cosine similarity measure, set-theoretic similar...

متن کامل

Information Measures and Aggregation Operators on Fuzzy / Intuitionistic Fuzzy Sets with Applications in Decision Making

In nature as well as otherwise there are what we can call deterministic and non-deterministic phenomena. Non-deterministic ones attract more challenges in scientific study. When the patterns of occurrence of non-deterministic phenomena are stable in their occurrence, their study was taken up in statistics. However, in real world, there is a large variety of vague phenomena, imprecise concepts a...

متن کامل

On Similarity Measures for Fuzzy Sets with Applications to Pattern Recognition, Decision Making, Clustering, and Approximate Reasoning

The paper deals with the well-known notion of similarity measures between fuzzy sets and proposes a variety of similarity measures for fuzzy sets. Moreover, the paper proves that the proposed measures satisfy the properties of the axiomatic definition for similarity measures and introduces several theorems. Several illustrative and practical examples from the areas of pattern recognition, decis...

متن کامل

INFORMATION MEASURES BASED TOPSIS METHOD FOR MULTICRITERIA DECISION MAKING PROBLEM IN INTUITIONISTIC FUZZY ENVIRONMENT

In the fuzzy set theory, information  measures play a paramount role in several areas such as decision making, pattern recognition etc. In this paper, similarity measure based on cosine function and entropy measures based on logarithmic function for IFSs are proposed. Comparisons of proposed similarity and entropy measures with the existing ones are listed. Numerical results limpidly betoken th...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Axioms

سال: 2022

ISSN: ['2075-1680']

DOI: https://doi.org/10.3390/axioms11070302