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In this work, we present definition of intuitionistic fuzzy parameterized (IFP) intuitionistic fuzzy soft set and its operations. Then we define IFP-aggregation operator to form IFP-intuitionistic fuzzy soft-decision-making method which…

Artificial Intelligence · Computer Science 2016-04-19 Faruk Karaaslan , Naim Cagman , Saban Yilmaz

In this paper some fundamental relationships of a gamma semigroup and its operator semigroups in terms of intuitionistic fuzzy subsets, intuitionistic fuzzy ideals, intuitionistic fuzzy prime(semiprime) ideals, intuitionistic fuzzy ideal…

General Mathematics · Mathematics 2011-02-02 Sujit Kumar Sardar , Samit Kumar Majumder , Manasi Mandal

In this work, we first define intuitionistic fuzzy parametrized soft sets (intuitionistic FP-soft sets) and study some of their properties. We then introduce an adjustable approaches to intuitionistic FP-soft sets based decision making. We…

Logic · Mathematics 2015-02-24 İrfan Deli , Naim Çağman

In this paper, the interval-valued intuitionistic fuzzy matrix (IVIFM) is introduced. The interval-valued intuitionistic fuzzy determinant is also defined. Some fundamental operations are also presented. The need of IVIFM is explain by an…

Discrete Mathematics · Computer Science 2014-04-29 Susanta Kumar Khan , Madhumangal Pal

The Turing machine is an abstract concept of a computing device which introduced new models for computation. The idea of Fuzzy algorithms defined by Zadeh and Lee was followed by introducing Fuzzy Turing Machine (FTM) to create a platform…

Systems and Control · Electrical Eng. & Systems 2019-08-07 Najmeh Ahang , Amin Torabi Jahromi , Mansour Doostfatemeh

There has been a long history of using fuzzy language equivalence to compare the behavior of fuzzy systems, but the comparison at this level is too coarse. Recently, a finer behavioral measure, bisimulation, has been introduced to fuzzy…

Artificial Intelligence · Computer Science 2016-11-15 Yongzhi Cao , Guoqing Chen , Etienne Kerre

The notion of intuitionistic fuzzy sets was introduced by Atanassov as a generalization of the notion of fuzzy sets. In this paper, we consider the intuitionistic fuzzification of the concept of sub-hyperquasigroups in a hyperquasigroup and…

General Mathematics · Mathematics 2007-05-23 Wieslaw A. Dudek , Bijan Davvaz , Young Bae Jun

Following the definition of intuitionistic fuzzy n-norm [ 3 ], we have introduced the definition of intuitionistic fuzzy norm (in short IFN) over a linear space and there after a few results on intuitionistic fuzzy normed linear space and…

General Mathematics · Mathematics 2015-03-13 T. K. Samanta , Iqbal H. Jebril

The approach described here allows to use the fuzzy Object Based Representation of imprecise and uncertain knowledge. This representation has a great practical interest due to the possibility to realize reasoning on classification with a…

Artificial Intelligence · Computer Science 2012-06-13 Mohamed Nazih Omri

WordNet lexical-database groups English words into sets of synonyms called "synsets." Synsets are utilized for several applications in the field of text-mining. However, they were also open to criticism because although, in reality, not all…

The superiority and inferiority ranking (SIR) method is a generation of the well-known PROMETHEE method, which can be more efficient to deal with multi-criterion decision making (MCDM) problem. Intuitionistic fuzzy sets (IFSs), as an…

Artificial Intelligence · Computer Science 2011-07-07 Junyi Chai , James N. K. Liu

The notion of intuitionistic fuzzy set was introduced by Atanassov as a generalization of the notion of fuzzy set. In this paper we apply this concept of Atanassov to ideals, prime ideals and semiprime ideals of gamma semigroups in order to…

General Mathematics · Mathematics 2011-02-02 Sujit Kumar Sardar , Samit Kumar Majumder , Manasi Mandal

Fuzzy implication functions are a key area of study in fuzzy logic, extending the classical logical conditional to handle truth degrees in the interval $[0,1]$. While existing literature often focuses on a limited number of families, in the…

Artificial Intelligence · Computer Science 2025-03-11 Raquel Fernandez-Peralta

In this paper, we present a generalization of the relational data model based on paraconsistent intuitionistic fuzzy sets. Our data model is capable of manipulating incomplete as well as inconsistent information. Fuzzy relation or…

Databases · Computer Science 2007-05-23 Rajshekhar Sunderraman , Haibin Wang

In this paper, we further study the theory of Intuitionistic fuzzy submodules and we will define intuitionistic fuzzy primary submodule with the help of the definition of a radical submodule, and we also study the properties of these…

Commutative Algebra · Mathematics 2022-08-30 Abbas Taherpour , Shaban Ghalandarzadeh , Parastoo Malakooti Rad , Parvin Safari

In this paper, generalised intuitionistic fuzzy soft sets and relations on generalised intuitionistic fuzzy soft sets are defined and a few of their properties are studied. An application of generalised intuitionistic fuzzy soft sets in…

General Mathematics · Mathematics 2010-10-13 Bivas Dinda , Tuhin Bera , T. K. Samanta

The theory of fuzzy semigroups is a branch of mathematics that arose in early 90's as an effort to characterize properties of semigroups by the properties of their fuzzy subsystems which include, fuzzy subsemigroups and their alike, fuzzy…

General Mathematics · Mathematics 2023-10-11 Anjeza Krakulli , Elton Pasku

State reduction of finite automata plays a significant role in improving efficiency in formal verification, pattern recognition, and machine learning, where automata-based models are widely used. While deterministic automata have…

Formal Languages and Automata Theory · Computer Science 2025-12-09 Linh Anh Nguyen , Son Thanh Cao , Stefan Stanimirović

Bisimulations have been widely used in many areas of computer science to model equivalence between various systems, and to reduce the number of states of these systems, whereas uniform fuzzy relations have recently been introduced as a…

Formal Languages and Automata Theory · Computer Science 2011-05-09 Miroslav Ćirić , Jelena Ignjatović , Nada Damljanović , Milan Bašić

Inferential models (IMs) represent a novel possibilistic approach for achieving provably valid statistical inference. This paper introduces a general framework for fusing independent IMs in a "black-box" manner, requiring no knowledge of…

Statistics Theory · Mathematics 2024-05-14 Leonardo Cella
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