Computers and Mathematics with Applications, ISSN 0898-1221, 2010, Volume 59, Issue 2, pp. 603 - 611

Recently, the concept of statistical convergence of double sequences has been studied in intuitionistic fuzzy normed spaces by Mursaleen and Mohiuddine...

[formula omitted]-convergence | [formula omitted]-conorm | [formula omitted]-Cauchy | [formula omitted]-norm | Intuitionistic fuzzy normed space | I-Cauchy | t-conorm | t-norm | I-convergence | MATHEMATICS, APPLIED

[formula omitted]-convergence | [formula omitted]-conorm | [formula omitted]-Cauchy | [formula omitted]-norm | Intuitionistic fuzzy normed space | I-Cauchy | t-conorm | t-norm | I-convergence | MATHEMATICS, APPLIED

Journal Article

2.
Full Text
On lacunary statistical convergence with respect to the intuitionistic fuzzy normed space

Journal of Computational and Applied Mathematics, ISSN 0377-0427, 2009, Volume 233, Issue 2, pp. 142 - 149

The concept of statistical convergence was introduced by Fast [H. Fast, Sur la convergence statistique, Colloq. Math. 2 (1951) 241–244] which was later on...

Lacunary statistical Cauchy | [formula omitted]-conorm | Intuitionistic fuzzy normed spaces | Statistical completeness | Lacunary statistical convergence | [formula omitted]-norm | Statistical convergence | t-conorm | t-norm | MATHEMATICS, APPLIED | METRIC-SPACES | NUMBERS | DOUBLE SEQUENCES

Lacunary statistical Cauchy | [formula omitted]-conorm | Intuitionistic fuzzy normed spaces | Statistical completeness | Lacunary statistical convergence | [formula omitted]-norm | Statistical convergence | t-conorm | t-norm | MATHEMATICS, APPLIED | METRIC-SPACES | NUMBERS | DOUBLE SEQUENCES

Journal Article

Mathematical and Computer Modelling, ISSN 0895-7177, 2011, Volume 54, Issue 11, pp. 2978 - 2985

In this article we introduce the notion of lacunary statistically convergent and lacunary statistically Cauchy sequences in intuitionistic fuzzy n -normed...

[formula omitted]-conorm | [formula omitted]-norm | Lacunary statistical convergence | Statistical convergence | Intuitionistic fuzzy [formula omitted]-normed linear space | T-norm | T-conorm | Intuitionistic fuzzy n-normed linear space | t-conorm | MATHEMATICS, APPLIED | t-norm

[formula omitted]-conorm | [formula omitted]-norm | Lacunary statistical convergence | Statistical convergence | Intuitionistic fuzzy [formula omitted]-normed linear space | T-norm | T-conorm | Intuitionistic fuzzy n-normed linear space | t-conorm | MATHEMATICS, APPLIED | t-norm

Journal Article

Information Sciences, ISSN 0020-0255, 12/2012, Volume 216, pp. 34 - 49

Intuitionistic fuzzy rough sets are investigated in a general framework which includes generalizations of many related results in early literatures. A new...

[formula omitted]-transitive relation | Intuitionistic fuzzy rough set | Intuitionistic fuzzy implicator | Intuitionistic fuzzy t-norm | Rough set | T-transitive relation | COMPUTER SCIENCE, INFORMATION SYSTEMS | APPROXIMATION OPERATORS

[formula omitted]-transitive relation | Intuitionistic fuzzy rough set | Intuitionistic fuzzy implicator | Intuitionistic fuzzy t-norm | Rough set | T-transitive relation | COMPUTER SCIENCE, INFORMATION SYSTEMS | APPROXIMATION OPERATORS

Journal Article

Information Sciences, ISSN 0020-0255, 2007, Volume 177, Issue 14, pp. 2906 - 2924

We introduce the addition, subtraction, multiplication and division on L I , where L I is the underlying lattice of both interval-valued fuzzy set theory [R....

Addition | Multiplication | Subtraction | t-Norm on [formula omitted] | Product | Arithmetic operators on [formula omitted] | Sum | Difference | Quotient | t-Norm on L | Arithmetic operators on L | product | IMPLICATORS | t-norm on L-1 | COMPUTER SCIENCE, INFORMATION SYSTEMS | arithmetic operators on L-1 | subtraction | QUANTIFIERS | sum | LOGIC | TRIANGULAR NORMS | PRODUCT LATTICES | quotient | difference | multiplication | T-NORMS | INTUITIONISTIC FUZZY | addition

Addition | Multiplication | Subtraction | t-Norm on [formula omitted] | Product | Arithmetic operators on [formula omitted] | Sum | Difference | Quotient | t-Norm on L | Arithmetic operators on L | product | IMPLICATORS | t-norm on L-1 | COMPUTER SCIENCE, INFORMATION SYSTEMS | arithmetic operators on L-1 | subtraction | QUANTIFIERS | sum | LOGIC | TRIANGULAR NORMS | PRODUCT LATTICES | quotient | difference | multiplication | T-NORMS | INTUITIONISTIC FUZZY | addition

Journal Article

Fuzzy Information and Engineering, ISSN 1616-8658, 12/2017, Volume 9, Issue 4, pp. 437 - 454

In this paper, we inquire further into the properties on some kind fuzzy hyperideals and we study the hyperrings via T-fuzzy hyperideals. By means of the use...

[formula omitted]-fuzzy quasi(bi)-hyperideal | [formula omitted]-fuzzy (resp. left, right) hyperideal | [formula omitted]-norm | Hyperrings | T-fuzzy quasi(bi)-hyperideal | t-norm | T-fuzzy (resp. left, right) hyperideal

[formula omitted]-fuzzy quasi(bi)-hyperideal | [formula omitted]-fuzzy (resp. left, right) hyperideal | [formula omitted]-norm | Hyperrings | T-fuzzy quasi(bi)-hyperideal | t-norm | T-fuzzy (resp. left, right) hyperideal

Journal Article

Journal of Computational and Applied Mathematics, ISSN 0377-0427, 2011, Volume 235, Issue 8, pp. 2137 - 2146

The object of the present paper is to determine the stability of the Hyers–Ulam–Rassias type theorem concerning the Pexiderized quadratic functional equation...

Pexiderized quadratic functional equation | [formula omitted]-conorm | Hyers–Ulam–Rassias stability | [formula omitted]-norm | Intuitionistic fuzzy normed space | t-conorm | t-norm | Hyers-Ulam-Rassias stability | MATHEMATICS, APPLIED | Fuzzy logic | Theorems | Stability | Computation | Mathematical analysis | Fuzzy set theory | Mathematical models | Fuzzy

Pexiderized quadratic functional equation | [formula omitted]-conorm | Hyers–Ulam–Rassias stability | [formula omitted]-norm | Intuitionistic fuzzy normed space | t-conorm | t-norm | Hyers-Ulam-Rassias stability | MATHEMATICS, APPLIED | Fuzzy logic | Theorems | Stability | Computation | Mathematical analysis | Fuzzy set theory | Mathematical models | Fuzzy

Journal Article

Information Sciences, ISSN 0020-0255, 09/2014, Volume 279, pp. 1 - 17

Overlap and grouping functions are special kinds of non-necessarily associative aggregation operators recently proposed for applications in classification...

Grouping function | Fuzzy implication | [formula omitted]-implication | (G, N) -implication | INTERVAL ADDITIVE GENERATORS | (G, N)-implication | FUZZY IMPLICATIONS | COMPUTER SCIENCE, INFORMATION SYSTEMS | DISTRIBUTIVITY | UNINORMS | XOR-IMPLICATIONS | OVERLAP | T-NORMS | IMPLICATION OPERATORS | GRAY-SCALE | NEGATIONS | Decision-making

Grouping function | Fuzzy implication | [formula omitted]-implication | (G, N) -implication | INTERVAL ADDITIVE GENERATORS | (G, N)-implication | FUZZY IMPLICATIONS | COMPUTER SCIENCE, INFORMATION SYSTEMS | DISTRIBUTIVITY | UNINORMS | XOR-IMPLICATIONS | OVERLAP | T-NORMS | IMPLICATION OPERATORS | GRAY-SCALE | NEGATIONS | Decision-making

Journal Article

9.
Full Text
Intuitionistic fuzzy stability of a Jensen functional equation via fixed point technique

Mathematical and Computer Modelling, ISSN 0895-7177, 2011, Volume 54, Issue 9, pp. 2403 - 2409

The object of this paper is to determine Hyers–Ulam–Rassias stability concerning the Jensen functional equation in intuitionistic fuzzy normed space (IFNS) by...

Cauchy functional equation | [formula omitted]-conorm | [formula omitted]-norm | Intuitionistic fuzzy normed space | Jensen functional equation | Fixed point | T-norm | T-conorm | COMPUTER SCIENCE, SOFTWARE ENGINEERING | t-conorm | MATHEMATICS, APPLIED | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | THEOREM | SPACES | t-norm | ULAM-RASSIAS STABILITY

Cauchy functional equation | [formula omitted]-conorm | [formula omitted]-norm | Intuitionistic fuzzy normed space | Jensen functional equation | Fixed point | T-norm | T-conorm | COMPUTER SCIENCE, SOFTWARE ENGINEERING | t-conorm | MATHEMATICS, APPLIED | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | THEOREM | SPACES | t-norm | ULAM-RASSIAS STABILITY

Journal Article

Information Sciences, ISSN 0020-0255, 2009, Volume 179, Issue 20, pp. 3720 - 3731

In this paper, we investigate relationships between different definitions of fuzzy ideals of a fuzzy semigroup. The equivalence of different definitions of...

Weak pseudo-t-norm | Semigroup | [formula omitted]-Semiprime fuzzy ideal | [formula omitted]-Fuzzy ideal | [formula omitted]-Semigroup | φ-Semigroup | φ-Fuzzy ideal | φ-Semiprime fuzzy ideal | ORDERED SEMIGROUPS | BI-IDEALS | SETS | TERMS | COMPUTER SCIENCE, INFORMATION SYSTEMS | phi-Semigroup | phi-Fuzzy ideal | T-NORMS | phi-Semiprime fuzzy ideal | LATTICE

Weak pseudo-t-norm | Semigroup | [formula omitted]-Semiprime fuzzy ideal | [formula omitted]-Fuzzy ideal | [formula omitted]-Semigroup | φ-Semigroup | φ-Fuzzy ideal | φ-Semiprime fuzzy ideal | ORDERED SEMIGROUPS | BI-IDEALS | SETS | TERMS | COMPUTER SCIENCE, INFORMATION SYSTEMS | phi-Semigroup | phi-Fuzzy ideal | T-NORMS | phi-Semiprime fuzzy ideal | LATTICE

Journal Article

Fuzzy Sets and Systems, ISSN 0165-0114, 2008, Volume 159, Issue 14, pp. 1836 - 1859

In this work we give a state-of-the-art review of two of the most established classes of fuzzy implications, viz., ( S , N ) - and R-implications. Firstly, we...

Fuzzy implication | S-implication | [formula omitted]-implication | R-implication | (S, N)-implication | MATHEMATICS, APPLIED | CONTINUOUS TRIANGULAR NORMS | STATISTICS & PROBABILITY | CONTINUOUS T-NORMS | fuzzy implication | FUZZY RELATIONAL EQUATIONS | RESIDUAL IMPLICATIONS | COMPUTER SCIENCE, THEORY & METHODS | IMPLICATION OPERATORS | NEGATIONS

Fuzzy implication | S-implication | [formula omitted]-implication | R-implication | (S, N)-implication | MATHEMATICS, APPLIED | CONTINUOUS TRIANGULAR NORMS | STATISTICS & PROBABILITY | CONTINUOUS T-NORMS | fuzzy implication | FUZZY RELATIONAL EQUATIONS | RESIDUAL IMPLICATIONS | COMPUTER SCIENCE, THEORY & METHODS | IMPLICATION OPERATORS | NEGATIONS

Journal Article

Computers and Mathematics with Applications, ISSN 0898-1221, 12/2013, Volume 66, Issue 10, pp. 1845 - 1856

This article proposes an approach to multi-attribute decision making (MADM) where individual assessments are provided as interval-valued intuitionistic fuzzy...

Atanassov’s intuitionistic fuzzy set (AIFS) | Multi-attribute decision making (MADM) | Interval-valued intuitionistic fuzzy set (IVIFS) | Einstein [formula omitted]-norm | Geometric aggregation operator | Atanassov's intuitionistic fuzzy set (AIFS) | Einstein t-norm | POSITION | MATHEMATICS, APPLIED | ACCURACY FUNCTION | SETS | AGGREGATION OPERATORS | Decision-making | Analysis | Methods

Atanassov’s intuitionistic fuzzy set (AIFS) | Multi-attribute decision making (MADM) | Interval-valued intuitionistic fuzzy set (IVIFS) | Einstein [formula omitted]-norm | Geometric aggregation operator | Atanassov's intuitionistic fuzzy set (AIFS) | Einstein t-norm | POSITION | MATHEMATICS, APPLIED | ACCURACY FUNCTION | SETS | AGGREGATION OPERATORS | Decision-making | Analysis | Methods

Journal Article

Computers and Mathematics with Applications, ISSN 0898-1221, 03/2012, Volume 63, Issue 6, pp. 1026 - 1038

The primary goal of this paper is to present a method of extending t-norms, t-conorms and fuzzy negations from a sublattice M to the bounded lattice L by...

Fuzzy logics | [formula omitted]-norms | Extensions | Lattices | De Morgan triples | Retractions | t-norms | MATHEMATICS, APPLIED

Fuzzy logics | [formula omitted]-norms | Extensions | Lattices | De Morgan triples | Retractions | t-norms | MATHEMATICS, APPLIED

Journal Article

International Journal of Approximate Reasoning, ISSN 0888-613X, 09/2018, Volume 100, pp. 135 - 160

As special sorts of nonassociative binary aggregation operators, overlap and grouping functions show tremendous potential in dealing with classification...

Interval fuzzy implications | Interval overlap and grouping functions | Interval automorphism | Interval [formula omitted]-implications | Interval (G,N)-implications | Interval (O,G,N)-implications | VALUED FUZZY-SETS | ADDITIVE GENERATORS | REASONING METHOD | Interval (G, N)-implications | CLASSIFICATION | Interval (O, G, N)-implications | QL-IMPLICATIONS | COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE | DI-SUBSETHOOD MEASURES | DECOMPOSITION STRATEGIES | CONSTRUCTION | T-NORMS | IMPLICATION OPERATORS

Interval fuzzy implications | Interval overlap and grouping functions | Interval automorphism | Interval [formula omitted]-implications | Interval (G,N)-implications | Interval (O,G,N)-implications | VALUED FUZZY-SETS | ADDITIVE GENERATORS | REASONING METHOD | Interval (G, N)-implications | CLASSIFICATION | Interval (O, G, N)-implications | QL-IMPLICATIONS | COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE | DI-SUBSETHOOD MEASURES | DECOMPOSITION STRATEGIES | CONSTRUCTION | T-NORMS | IMPLICATION OPERATORS

Journal Article

Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 08/2013, Volume 404, Issue 2, pp. 351 - 361

We present common fixed point theorems for six self mappings in Menger space. In this paper, we prove the theorem through the weak compatibility not...

Common fixed point theorem | Menger space | [formula omitted]-norm | Complete | Weakly compatible | T-norm | MATHEMATICS | MATHEMATICS, APPLIED

Common fixed point theorem | Menger space | [formula omitted]-norm | Complete | Weakly compatible | T-norm | MATHEMATICS | MATHEMATICS, APPLIED

Journal Article

Fuzzy Sets and Systems, ISSN 0165-0114, 2005, Volume 152, Issue 2, pp. 249 - 270

For a reciprocal relation Q on a set of alternatives A, two transitivity frameworks which generalize both T-transitivity and stochastic transitivity are...

Copulas | t-norms | Isostochastic transitivity | Cycle-transitivity | Reciprocal relations | Stochastic transitivity | [formula omitted]-transitivity | T-transitivity | FG-transitivity | MATHEMATICS, APPLIED | STATISTICS & PROBABILITY | cycle | isostochastic transitivity | stochastic transitivity | reciprocal relations | FUZZY PREFERENCE RELATIONS | transitivity | COMPUTER SCIENCE, THEORY & METHODS | copulas

Copulas | t-norms | Isostochastic transitivity | Cycle-transitivity | Reciprocal relations | Stochastic transitivity | [formula omitted]-transitivity | T-transitivity | FG-transitivity | MATHEMATICS, APPLIED | STATISTICS & PROBABILITY | cycle | isostochastic transitivity | stochastic transitivity | reciprocal relations | FUZZY PREFERENCE RELATIONS | transitivity | COMPUTER SCIENCE, THEORY & METHODS | copulas

Journal Article

ISA Transactions, ISSN 0019-0578, 2008, Volume 47, Issue 3, pp. 300 - 310

This paper unveils mathematical models for fuzzy PI/PD controllers which employ two skewed fuzzy sets for each of the two-input variables and three skewed...

[formula omitted]-conorms | Fuzzy inference | [formula omitted]-norms | Mathematical models | Skewed fuzzy sets | Fuzzy PI/PD control | t-norms | t-conorms | INSTRUMENTS & INSTRUMENTATION | ENGINEERING, MULTIDISCIPLINARY | fuzzy inference | mathematical models | fuzzy PI/PD control | skewed fuzzy sets | Linear Models | Algorithms | Feedback | Fuzzy Logic | Computer Simulation | Analysis

[formula omitted]-conorms | Fuzzy inference | [formula omitted]-norms | Mathematical models | Skewed fuzzy sets | Fuzzy PI/PD control | t-norms | t-conorms | INSTRUMENTS & INSTRUMENTATION | ENGINEERING, MULTIDISCIPLINARY | fuzzy inference | mathematical models | fuzzy PI/PD control | skewed fuzzy sets | Linear Models | Algorithms | Feedback | Fuzzy Logic | Computer Simulation | Analysis

Journal Article

Nonlinear Analysis, ISSN 0362-546X, 2010, Volume 72, Issue 2, pp. 1010 - 1018

In this work a long-standing problem related to the continuity of R -implications, i.e., implications obtained as the residuum of t -norms, has been solved. A...

Łukasiewicz implication | Continuity | [formula omitted]-implication | Nilpotent [formula omitted]-norms | Nilpotent t-norms | (S, N)-implication | R-implication | MATHEMATICS | MATHEMATICS, APPLIED | Lukasiewicz implication | N)-IMPLICATIONS | CONTINUOUS T-NORMS | LOGIC | Norms | Isomorphism | Nonlinearity | Intersections | Information technology

Łukasiewicz implication | Continuity | [formula omitted]-implication | Nilpotent [formula omitted]-norms | Nilpotent t-norms | (S, N)-implication | R-implication | MATHEMATICS | MATHEMATICS, APPLIED | Lukasiewicz implication | N)-IMPLICATIONS | CONTINUOUS T-NORMS | LOGIC | Norms | Isomorphism | Nonlinearity | Intersections | Information technology

Journal Article

Information Sciences, ISSN 0020-0255, 07/2014, Volume 271, pp. 159 - 178

This paper aims to solve the problem of multiple-objective linear optimization model subject to a system of inf-→ composition fuzzy relation equations, where →...

Fuzzy linear programming | Fuzzy relation equations constraint | Inf-[formula omitted] composition | Optimal solution | Inf- → composition | SYSTEM | OPTIMIZATION PROBLEMS | T-NORM COMPOSITION | MAX-PRODUCT COMPOSITION | RESOLUTION | COMPUTER SCIENCE, INFORMATION SYSTEMS | OBJECTIVE FUNCTION | MINIMAL SOLUTIONS | Inf--> composition | COMPLETE BROUWERIAN LATTICES | 2-PHASE APPROACH | SOLUTION SETS

Fuzzy linear programming | Fuzzy relation equations constraint | Inf-[formula omitted] composition | Optimal solution | Inf- → composition | SYSTEM | OPTIMIZATION PROBLEMS | T-NORM COMPOSITION | MAX-PRODUCT COMPOSITION | RESOLUTION | COMPUTER SCIENCE, INFORMATION SYSTEMS | OBJECTIVE FUNCTION | MINIMAL SOLUTIONS | Inf--> composition | COMPLETE BROUWERIAN LATTICES | 2-PHASE APPROACH | SOLUTION SETS

Journal Article

Fuzzy Sets and Systems, ISSN 0165-0114, 2009, Volume 160, Issue 1, pp. 32 - 43

In this paper, we have introduced the concepts of T-prime element, T-prime radical element and T-semi-prime element and have studied their properties. We have...

t-Norm | Pseudo-complement | Infinitely [formula omitted]-distributive | Infinitely ∨-distributive | Sects

t-Norm | Pseudo-complement | Infinitely [formula omitted]-distributive | Infinitely ∨-distributive | Sects

Journal Article